12th Class Mathematics MCQS Integration Online Test 1

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-bd-7-d-7-bdx-7-d-282-x-5-e-7-b-2-7-d-2-b-3-29-5-e-7-b-5-7-d-3-d-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-28-282-x-5-e-7-b-2-7-d-2-b-3-29-5-e-7-b-4-7-d-2820-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-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-5-c-5-cint-5-c-5-climits-7-b-5-c-5-cfrac-7-b-5-c-5-cpi-7-d-7-b-2-7-d-7-d-5-e-7-b-5-c-5-cfrac-7-b-5-c-5-cpi-7-d-7-b-2-7-d-7-d-cos-5-c-5-c-2-cx-5-c-5-c-2-cdx-3-d-5-c-5-c-29-3-c-2-fspan-3-e-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-282-5-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-x-3-dx-1-2-br-5-c-5-c-2-ccos-5-c-5-c-2-c-5-c-5-ctheta-2-cy-3-dy-1-2-br-5-c-5-c-2-csin-5-c-5-c-2-c-5-c-5-ctheta-5-c-5-c-29-3-c-2-fspan-3-e-is-called-the-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-eparametric-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-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-all-lines-through-a-fixed-point-a-and-points-on-the-circle-generates-a-right-3-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-ecircular-cone-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-e-the-latus-rectum-of-the-parabola-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-x-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-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-3-d-4-ay-is-3-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-ey-3-d-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-11-0-pt-22-3-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-cmathrm-7-bd-7-d-7-d-7-b-5-c-5-cmathrm-7-bd-7-d-x-7-d-5-c-5-ccosh-5-c-5-c-2-c-282-x-29-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-equals-3-c-2-fspan-3-e-3-cspan-style-3-d-22-font-size-3-a-11-0-pt-22-3-e-3-a-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-2-sinh-2-x-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-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-5-c-5-cvec-7-bk-7-d-5-c-5-cvec-7-bk-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-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-arial-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-28-5-c-5-cint-5-c-5-climits-7-b-7-b-5-c-5-cpi-5-c-5-cover-2-7-d-7-d-5-e-7-b-5-c-5-cpi-5-c-5-cover-2-7-dcos-5-c-5-c-2-c-5-c-5-cleft-28-7-bx-5-c-5-cover-2-7-d-5-c-5-cright-29-dx-3-d-3-f-5-c-5-c-29-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fspan-3-e-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-282-5-c-5-csqrt-2-5-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-arial-22-2-c-22-sans-serif-22-27-3-e-the-lines-represented-by-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-2-3-d-0-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-are-imaginary-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-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-arial-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-h-5-e-2-ab-3-d-0-5-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-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-an-angle-in-the-semi-circle-is-of-measure-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-2890-5-e-7-bo-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-foci-of-hyperbola-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-5-c-5-cfrac-7-bx-5-e-7-b-2-7-d-7-d-7-ba-5-e-7-b-2-7-d-7-d-5-c-5-cfrac-7-by-5-e-7-b-2-7-d-7-d-7-bb-5-e-7-b-2-7-d-7-d-3-d-1-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-are-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-28-28-5-c-5-cpm-ae-2-c-0-29-5-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-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-latus-rectum-of-ellipse-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-5-c-5-cfrac-7-bx-5-e-7-b-2-7-d-7-d-7-b-16-7-d-2-b-5-c-5-cfrac-7-by-5-e-7-b-2-7-d-7-d-7-b-9-7-d-3-d-1-5-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-28-5-c-5-cfrac-7-b-9-7-d-7-b-2-7-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-moment-of-force-c-2-a-0-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-5-c-5-cunderline-7-bf-7-d-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-about-c-2-a-0-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-5-c-5-cunderline-7-bd-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-28-5-c-5-cunderline-7-br-7-d-c-3-97-5-c-5-cunderline-7-bf-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-distance-of-the-point-283-2-c-7-29-from-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-7-3-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-slope-of-the-line-with-inclination-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-2845-5-e-7-bo-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-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-the-condition-that-the-line-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-y-3-dmx-2-bc-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-tangent-to-the-circle-c-2-a-0-3-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-3-da-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-fp-3-e_-_3-cp-3-e-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-c-5-e-7-b-2-7-d-3-da-5-e-7-b-2-7-d-281-2-bm-5-e-7-b-2-7-d-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-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-5-c-5-cfrac-7-bd-7-d-7-bdx-7-d-28-sin-5-c-5-csqrt-7-bx-7-d-29-5-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-eequals-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-bcos-5-c-5-c-2-c-5-c-5-csqrt-7-bx-7-d-7-d-7-b-2-5-c-5-csqrt-7-bx-7-d-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-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-y-is-denoted-by-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-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-if-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-y-3-de-5-e-7-b-3-x-7-d-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-then-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-y-7-b-3-7-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-2827-e-5-e-7-b-3-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-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-284-y-2-b-3-x-2-b-7-3-d-0-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-then-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-5-c-5-cfrac-7-bdy-7-d-7-bdx-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-28-5-c-5-cfrac-7-b-3-7-d-7-b-4-7-d-5-c-5-c-29-3-c-2-fspan-3-e-3-c-2-fp-3-e,solution-of-differential-equation-2-c-5-c-28-0-crac-7-b-7-bdy-7-d-7-d-7-b-7-bdx-7-d-7-d-3-d-y-5-c-29-is-3-a_-_5-c-28-c-7-be-5-ex-7-d-5-c-29,solution-of-differential-equation-5-c-28-0-crac-7-b-7-bdy-7-d-7-d-7-b-7-bdx-7-d-7-d-3-d-5-ccsc-x-5-ccot-x-5-c-29-is-y-3-d_-_cscx-2-bc,the-order-of-a-differential-equation-5-c-28-y-0-crac-7-b-7-bdy-7-d-7-d-7-b-7-bdx-7-d-7-d-2-b-2-x-3-d-0-5-c-29-is-3-a_-_1,the-technique-or-method-to-find-such-a-function-whose-derivative-is-given-involves-the-inverse-process-of-differentiation-called-3-a_-_integration