12th Class Mathematics MCQS Vectors Online Test 2

3-cp-3-e-3-cspan-style-3-d-22-font-size-3-a-10-0-pt-22-3-e-3-cspan-style-3-d-27-font-family-3-a-22-times-new-roman-22-2-c-22-serif-22-27-3-e-3-cspan-style-3-d-22-color-3-ablack-22-3-ea-line-segment-having-both-the-end-points-on-a-circle-and-not-passing-through-the-centre-is-called-a-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fp-3-e_-_3-cp-3-e-3-cspan-style-3-d-22-font-size-3-a-10-0-pt-22-3-e-3-cspan-style-3-d-27-font-family-3-a-22-times-new-roman-22-2-c-22-serif-22-27-3-e-3-cspan-style-3-d-22-color-3-ablack-22-3-ea-chord-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fp-3-e,3-cp-3-e-3-cspan-style-3-d-22-font-size-3-a-11-0-pt-22-3-e-3-cspan-style-3-d-27-font-family-3-a-22-tahoma-22-2-c-22-sans-serif-22-27-3-e-focus-of-the-parabola-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-y-5-e-7-b-2-7-d-3-d-4-ax-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-is-3-a-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fp-3-e_-_3-cp-3-e-28-a-2-c-0-29-3-c-2-fp-3-e,3-cp-3-e-3-cspan-style-3-d-22-font-size-3-a-11-0-pt-22-3-e-3-cspan-style-3-d-27-font-family-3-a-22-tahoma-22-2-c-22-sans-serif-22-27-3-e-if-distance-between-two-points-283-2-c-1-29-and-28-k-2-c-2-29-is-e-2-80-981-e-2-80-99-2-c-then-value-of-e-2-80-98-k-e-2-80-99-will-be-3-a-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fp-3-e_-_3-cp-3-e-3-3-c-2-fp-3-e,3-cp-3-e-3-cspan-style-3-d-22-font-size-3-a-11-0-pt-22-3-e-3-cspan-style-3-d-27-font-family-3-a-22-tahoma-22-2-c-22-sans-serif-22-27-3-e-length-of-tangent-from-280-2-c-1-29-to-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-x-5-e-7-b-2-7-d-2-by-5-e-7-b-2-7-d-2-b-6-x-3-y-2-b-3-3-d-0-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-is-3-a-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fp-3-e_-_3-cp-3-e-1-3-c-2-fp-3-e,3-cp-3-e-3-cspan-style-3-d-22-font-size-3-a-11-0-pt-22-3-e-3-cspan-style-3-d-27-font-family-3-a-22-tahoma-22-2-c-22-sans-serif-22-27-3-e-the-angle-which-the-vector-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-5-c-5-csqrt-7-b-3-7-d-5-c-5-c-2-c-5-c-5-cunderline-7-bi-7-d-2-b-5-c-5-cunderline-7-bj-7-d-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-makes-with-x-axis-is-3-a-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fp-3-e_-_3-cp-3-e-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-5-c-5-cfrac-7-b-5-c-5-cpi-7-d-7-b-3-7-d-5-c-5-c-29-3-c-2-fspan-3-e-3-c-2-fp-3-e,3-cp-3-e-3-cspan-style-3-d-22-font-size-3-a-11-0-pt-22-3-e-3-cspan-style-3-d-27-font-family-3-a-22-tahoma-22-2-c-22-sans-serif-22-27-3-e-the-point-28-1-2-c-2-29-c-2-a-0-satisfied-the-inequality-3-a-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fp-3-e_-_3-cp-3-e-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-x-2-by-26-lt-3-b-4-5-c-5-c-29-3-c-2-fspan-3-e-3-c-2-fp-3-e,3-cp-3-e-3-cspan-style-3-d-22-font-size-3-a-11-0-pt-22-3-e-3-cspan-style-3-d-27-font-family-3-a-22-tahoma-22-2-c-22-sans-serif-22-27-3-e-two-lines-represented-by-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-ax-5-e-7-b-2-7-d-2-b-2-hxy-2-bby-5-e-7-b-2-7-d-3-d-0-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-are-parallel-if-3-a-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fp-3-e_-_3-cp-3-e-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-h-5-e-7-b-2-7-d-ab-3-d-0-5-c-5-c-29-3-c-2-fspan-3-e-3-c-2-fp-3-e,3-cp-3-e-3-cspan-style-3-d-22-font-size-3-a-13-0-pt-22-3-e-3-cspan-style-3-d-27-font-family-3-a-22-tahoma-22-2-c-22-sans-serif-22-27-3-e-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-a-7-b-0-7-d-2-ba-7-b-1-7-dx-2-ba-7-b-2-7-dx-5-e-7-b-2-7-d-2-b-2-ba-7-bn-7-dx-5-e-7-bn-7-d-2-b-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-cspan-style-3-d-22-font-size-3-a-13-0-pt-22-3-e-3-cspan-style-3-d-27-font-family-3-a-22-tahoma-22-2-c-22-sans-serif-22-27-3-eis-3-a-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fp-3-e_-_3-cp-3-e-3-cspan-style-3-d-22-font-size-3-a-13-0-pt-22-3-e-3-cspan-style-3-d-27-font-family-3-a-22-tahoma-22-2-c-22-sans-serif-22-27-3-e-power-series-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fp-3-e,3-cp-3-e-3-cspan-style-3-d-22-font-size-3-a-13-0-pt-22-3-e-3-cspan-style-3-d-27-font-family-3-a-22-tahoma-22-2-c-22-sans-serif-22-27-3-e-let-c-2-a-0-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-y-3-dcos-28-ax-2-bb-29-5-c-5-c-29-3-c-2-fspan-3-e-2-c-then-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-y-7-b-2-7-d-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-equals-3-a-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fp-3-e_-_3-cp-3-e-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-a-5-e-7-b-2-7-dy-5-c-5-c-29-3-c-2-fspan-3-e-3-c-2-fp-3-e,3-cp-3-e-3-cspan-style-3-d-22-font-size-3-a-13-0-pt-22-3-e-3-cspan-style-3-d-27-font-family-3-a-22-tahoma-22-2-c-22-sans-serif-22-27-3-e-the-function-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-f-28-x-29-3-d-5-c-5-cfrac-7-b-2-2-b-3-x-7-d-7-b-2-x-7-d-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-is-not-continuous-at-3-a-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fp-3-e_-_3-cp-3-e-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-x-3-d-0-5-c-5-c-29-3-c-2-fspan-3-e-3-c-2-fp-3-e,3-cp-3-e-3-cstrong-3-e-3-cspan-style-3-d-22-font-size-3-a-10-0-pt-22-3-e-3-cspan-style-3-d-22-color-3-ablack-22-3-e-the-points-28-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-cspan-style-3-d-22-font-size-3-a-10-0-pt-22-3-e-3-cspan-style-3-d-22-font-family-3-a-symbol-22-3-e-3-cspan-style-3-d-22-color-3-ablack-22-3-e-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-cspan-style-3-d-22-font-size-3-a-10-0-pt-22-3-e-3-cspan-style-3-d-22-color-3-ablack-22-3-e-a-2-c-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-cspan-style-3-d-22-font-size-3-a-10-0-pt-22-3-e-3-cspan-style-3-d-22-font-family-3-a-symbol-22-3-e-3-cspan-style-3-d-22-color-3-ablack-22-3-e-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-cspan-style-3-d-22-font-size-3-a-10-0-pt-22-3-e-3-cspan-style-3-d-22-color-3-ablack-22-3-e-b-29-2-c-280-2-c-0-29-2-c-28-a-2-c-b-29-and-28-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-a-5-e-2-5-c-5-c-29-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fstrong-3-e-3-cstrong-3-e-3-cspan-style-3-d-22-font-size-3-a-10-0-pt-22-3-e-3-cspan-style-3-d-22-color-3-ablack-22-3-e-2-c-ab-29-are-3-a-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fstrong-3-e-3-c-2-fp-3-e_-_3-cp-3-e-3-cspan-style-3-d-22-font-size-3-a-10-0-pt-22-3-e-3-cspan-style-3-d-22-color-3-ablack-22-3-ecollinear-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fp-3-e,3-cp-3-e-3-cstrong-3-e-3-cspan-style-3-d-22-font-size-3-a-10-0-pt-22-3-e-3-cspan-style-3-d-27-font-family-3-a-22-times-new-roman-22-2-c-22-serif-22-27-3-e-3-cspan-style-3-d-22-color-3-ablack-22-3-e-if-s-is-the-distance-traveled-by-a-body-at-time-t-2-c-the-velocity-is-given-by-the-expression-3-a-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fstrong-3-e-3-c-2-fp-3-e_-_3-cp-3-e-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-5-c-5-cfrac-7-bds-7-d-7-bdt-7-d-5-c-5-c-29-3-c-2-fspan-3-e-3-c-2-fp-3-e,3-cp-3-e-3-cstrong-3-e-3-cspan-style-3-d-22-font-size-3-a-10-0-pt-22-3-e-3-cspan-style-3-d-27-font-family-3-a-22-times-new-roman-22-2-c-22-serif-22-27-3-e-3-cspan-style-3-d-22-color-3-ablack-22-3-e-the-order-of-a-differential-equation-x-c-2-a-0-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-5-c-5-cfrac-7-bd-5-e-2-y-7-d-7-bdx-5-e-2-7-d-2-b-5-c-5-cfrac-7-bdy-7-d-7-bdx-7-d-5-c-5-c-29-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fstrong-3-e-3-cstrong-3-e-3-cspan-style-3-d-22-font-size-3-a-10-0-pt-22-3-e-3-cspan-style-3-d-22-font-family-3-a-symbol-22-3-e-3-cspan-style-3-d-22-color-3-ablack-22-3-e-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-cspan-style-3-d-22-font-size-3-a-10-0-pt-22-3-e-3-cspan-style-3-d-27-font-family-3-a-22-times-new-roman-22-2-c-22-serif-22-27-3-e-3-cspan-style-3-d-22-color-3-ablack-22-3-e-2-x-3-d-0-is-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fstrong-3-e-3-c-2-fp-3-e_-_3-cp-3-e-2-3-c-2-fp-3-e,3-cp-3-e-3-cstrong-3-e-3-cspan-style-3-d-22-font-size-3-a-10-0-pt-22-3-e-3-cspan-style-3-d-27-font-family-3-a-22-times-new-roman-22-2-c-22-serif-22-27-3-e-3-cspan-style-3-d-22-color-3-ablack-22-3-e-the-small-change-in-the-value-of-x-2-c-positive-or-negative-is-called-the-of-x-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fstrong-3-e-3-c-2-fp-3-e_-_3-cp-3-e-3-cspan-style-3-d-22-font-size-3-a-10-0-pt-22-3-e-3-cspan-style-3-d-27-font-family-3-a-22-times-new-roman-22-2-c-22-serif-22-27-3-e-3-cspan-style-3-d-22-color-3-ablack-22-3-eincrement-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fp-3-e,3-cp-3-e-3-cstrong-3-e-3-cspan-style-3-d-22-font-size-3-a-10-0-pt-22-3-e-3-cspan-style-3-d-27-font-family-3-a-22-times-new-roman-22-2-c-22-serif-22-27-3-e-if-any-two-vectors-of-scalar-triple-product-are-equal-2-c-then-its-value-is-equal-to-3-a-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fstrong-3-e-3-c-2-fp-3-e_-_3-cp-3-e-0-3-c-2-fp-3-e,3-cp-3-e-3-cstrong-3-e-3-cspan-style-3-d-22-font-size-3-a-10-0-pt-22-3-ea-region-2-c-which-is-restricted-to-the-quadrant-2-c-is-referred-to-as-a-feasible-region-for-the-set-of-given-constraints-3-c-2-fspan-3-e-3-c-2-fstrong-3-e-3-c-2-fp-3-e_-_3-cp-3-e-3-cspan-style-3-d-22-font-size-3-a-10-0-pt-22-3-efirst-3-c-2-fspan-3-e-3-c-2-fp-3-e,3-cp-3-e-3-cstrong-3-e-3-cspan-style-3-d-22-font-size-3-a-11-0-pt-22-3-e-3-cspan-style-3-d-27-font-family-3-a-22-times-new-roman-22-2-c-22-serif-22-27-3-e-3-cspan-style-3-d-22-color-3-ablack-22-3-ea-circle-and-a-square-have-the-same-perimeter-then-3-a-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fstrong-3-e-3-c-2-fp-3-e_-_3-cp-3-e-3-cspan-style-3-d-22-font-size-3-a-11-0-pt-22-3-e-3-cspan-style-3-d-27-font-family-3-a-22-times-new-roman-22-2-c-22-serif-22-27-3-e-3-cspan-style-3-d-22-color-3-ablack-22-3-ethe-area-of-the-circle-is-larger-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fp-3-e,3-cp-3-e-if-c-2-a-0-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-f-28-x-29-3-d-x-5-e-2-2-b-1-5-c-5-c-29-3-c-2-fspan-3-e-2-c-then-the-value-of-fof-is-equal-to-3-a-3-c-2-fp-3-e_-_3-cp-3-e-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-x-5-e-4-2-b-2-x-5-e-2-2-b-2-5-c-5-c-29-3-c-2-fspan-3-e-3-c-2-fp-3-e,3-cp-3-e-the-axes-are-rotated-about-the-origin-through-an-angle-c-2-a-0-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-5-c-5-ctheta-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-of-c-2-a-0-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-ax-5-e-2-2-bby-5-e-2-2-b-2-hxy-2-b-2-gx-2-b-2-fy-2-bc-3-d-0-5-c-5-c-29-3-c-2-fspan-3-eis-given-by-where-c-2-a-0-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-280-26-lt-3-b-5-c-5-ctheta-26-lt-3-b-90-5-eo-5-c-5-c-29-3-c-2-fspan-3-e-3-c-2-fp-3-e_-_3-cp-3-e-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-tan-5-c-5-c-2-c-5-c-5-c-2-c-2-5-c-5-ctheta-3-d-5-c-5-cfrac-7-b-2-h-7-d-7-ba-b-7-d-5-c-5-c-29-3-c-2-fspan-3-e-3-c-2-fp-3-e,3-cp-3-e-the-major-axis-of-the-ellipse-c-2-a-0-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-5-c-5-cfrac-7-bx-5-e-2-7-d-7-ba-5-e-2-7-d-2-b-5-c-5-cfrac-7-by-5-e-2-7-d-7-bb-5-e-2-7-d-3-d-1-2-ca-26-gt-3-bb-5-c-5-c-29-3-c-2-fspan-3-e-is-3-a-3-c-2-fp-3-e_-_3-cp-3-e-3-cspan-style-3-d-22-font-size-3-a-10-0-pt-22-3-e-3-cspan-style-3-d-27-font-family-3-a-22-times-new-roman-22-2-c-22-serif-22-27-3-e-3-cspan-style-3-d-22-color-3-ablack-22-3-ey-3-d-0-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fp-3-e,projection-of-3-cu-3-ea-3-c-2-fu-3-e-along-3-cu-3-eb-3-c-2-fu-3-e-is-3-a_-_3-cimg-src-3-d-22-2-fimages-2-fmcqs-2-f-12th-2-fmath-2-f-12-math-07-020-002-png-22-3-e,the-moment-of-a-force-3-cu-3-ef-3-c-2-fu-3-e-acting-at-p-about-c-is-3-a_-_3-cimg-src-3-d-22-2-fimages-2-fmcqs-2-f-12th-2-fmath-2-f-12-math-07-039-002-png-22-3-e,the-vector-a-e-2-83-97-lies-in-the-plane-of-vectors-b-e-2-83-97-and-c-e-2-83-97-then-a-e-2-83-97-b-e-2-83-97-xc-e-2-83-97_-_0