12th Class Mathematics MCQS Conic Section Online Test 2

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-c-2-a-0-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-5-c-5-cunderset-7-b-5-c-5-cdelta-x-5-c-5-crightarrow-0-7-d-7-blimit-7-d-5-c-5-cfrac-7-bf-28-x-2-b-5-c-5-cdelta-x-29-f-28-x-29-7-d-7-b-5-c-5-cdelta-x-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-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-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-equal-to-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-f-5-c-27-28-x-29-5-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-differential-of-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-x-5-e-7-b-2-7-d-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-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-282-xdx-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-if-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-f-28-x-29-3-dsinx-2-bcosx-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-2-c-then-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-f-28-x-29-2-bf-28-x-29-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-is-equal-to-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-282-5-c-5-c-2-ccosx-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-if-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-y-3-de-5-e-7-b-2-x-7-d-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-is-equal-to-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-284-e-5-e-7-b-2-x-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-derivative-of-strictly-decreasing-function-is-always-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-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-enegative-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-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-ey-3-d-mx-2-b-c-is-the-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-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-eslope-intercept-form-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-the-vector-c-2-a-0-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-5-c-5-cunderline-i-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-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-27-font-family-3-a-22-times-new-roman-22-2-c-22-serif-22-27-3-e-3-d-5-b-1-2-c-0-2-c-0-5-d-is-called-unit-vector-along-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-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-ex-axis-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-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-there-are-ordered-pairs-that-satisfy-the-inequality-ax-2-b-by-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-c-2-a-3-3-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-c-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-einfinitely-many-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fp-3-e,3-cp-3-e-the-pair-of-lines-of-homogeneous-second-degree-equation-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-b-2-hxy-2-bby-5-e-2-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-are-imaginary-2-c-if-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-h-5-e-2-26-lt-3-bab-5-c-5-c-29-3-c-2-fspan-3-e-3-c-2-fp-3-e,5-c-28-0-crac-7-b-7-b-7-bx-5-e-2-7-d-7-d-7-d-7-b-7-b-7-ba-5-e-2-7-d-7-d-7-d-2-b-0-crac-7-b-7-b-7-by-5-e-2-7-d-7-d-7-d-7-b-7-b-7-bb-5-e-2-7-d-7-d-7-d-3-d-1-5-c-29-is-an-equation-of-the-in-standard-form_-_ellipse,a-line-perpendicular-to-a-radial-chord-of-a-circle-at-the-end-point-28-which-lies-on-the-circle-29-is-a_-_diameter,any-live-y-3-d-mx-2-b-c-intersects-any-circle-x-3-csup-3-e-2-3-c-2-fsup-3-e-2-by-3-csup-3-e-2-3-c-2-fsup-3-e-3-dr-3-csup-3-e-2-3-c-2-fsup-3-e-in-3-a_-_at-most-two-points,asymptotes-are-very-useful-in-graphing-3-a_-_hyperbola,covert-ices-of-the-ellipse-x-3-csup-3-e-2-3-c-2-fsup-3-e-2-b-4-y-3-csup-3-e-2-3-c-2-fsup-3-e-3-d-16-are-3-a_-_5-c-28-280-2-c-5-cpm-2-29-5-c-29,equation-of-tangent-to-5-c-28-0-crac-7-b-7-b-7-bx-5-e-2-7-d-7-d-7-d-7-b-7-b-7-ba-5-e-2-7-d-7-d-7-d-2-b-0-crac-7-b-7-b-7-by-5-e-2-7-d-7-d-7-d-7-b-7-b-7-bb-5-e-2-7-d-7-d-7-d-3-d-1-5-c-29-at-point-p-28-x-3-csub-3-e-1-3-c-2-fsub-3-e-2-cy-3-csub-3-e-1-3-c-2-fsub-3-e-29-is-3-a_-_5-c-28-0-crac-7-b-7-bx-7-bx-1-7-d-7-d-7-d-7-b-7-b-7-ba-5-e-2-7-d-7-d-7-d-2-b-0-crac-7-b-7-by-7-by-5-e-1-7-d-7-d-7-d-7-b-7-b-7-bb-5-e-2-7-d-7-d-7-d-3-d-1-5-c-29,focus-of-parabola-x-3-csup-3-e-2-3-c-2-fsup-3-e-3-d-16-y-equals-3-a_-_280-2-c-4-29,if-r-is-the-radius-of-any-circle-and-c-its-centre-2-c-then-any-point-p-28-x-3-csub-3-e-1-3-c-2-fsub-3-e-2-cy-3-csub-3-e-1-3-c-2-fsub-3-e-29-lies-on-the-circle-only-if-3-a_-_7-ccp-7-c-3-d-r,if-the-focus-lies-on-the-y-axis-with-coordinates-f-280-2-c-a-29-and-directrix-of-the-parabola-is-y-3-d-a-2-c-then-the-equation-of-parabola-is-3-a_-_x-3-csup-3-e-2-3-c-2-fsup-3-e-3-d-4-ay,in-equation-of-circle-2-c-coefficient-of-each-of-x-3-csup-3-e-2-3-c-2-fsup-3-e-and-y-3-csup-3-e-2-3-c-2-fsup-3-e-are-3-a_-_equal,perpendicular-dropped-from-the-centre-of-a-circle-on-a-chord-the-chord_-_bisects,the-equation-ax-3-csup-3-e-2-3-c-2-fsup-3-e-2-b-by-3-csup-3-e-2-3-c-2-fsup-3-e-2-b-gx-2-b-fy-2-bc-3-d-0-epresents-a-circle-if-3-a_-_5-c-28-a-3-d-b-0-ae-0-5-c-29,the-general-equation-of-second-degree-3-a-ax-3-csup-3-e-2-3-c-2-fsup-3-e-2-bby-3-csup-3-e-2-3-c-2-fsup-3-e-2-b-2-hxy-2-b-2-gx-2-b-2-fy-2-bc-3-d-0-is-a-hyperbola-if-3-a_-_5-c-28-7-bh-5-e-2-7-d-ab-26-gt-3-b-0-5-c-29,the-general-equation-of-second-degree-ax-3-csup-3-e-2-3-c-2-fsup-3-e-2-b-by-3-csup-3-e-2-3-c-2-fsup-3-e-2-b-gx-2-b-fy-2-bc-3-d-0-is-a-07-n-if-5-c-28-a-0-ae-b-5-c-29-and-both-are-of-the-same-signs_-_ellipse,vertices-of-hyperbola-5-c-28-0-crac-7-b-7-b-7-bx-5-e-2-7-d-7-d-7-d-7-b-7-b-7-ba-5-e-2-7-d-7-d-7-d-0-crac-7-b-7-b-7-by-5-e-2-7-d-7-d-7-d-7-b-7-b-7-bb-5-e-2-7-d-7-d-7-d-3-d-1-5-c-29-equals-3-a_-_5-c-28-28-5-cpm-a-2-c-0-29-5-c-29