12th Class Mathematics MCQS Conic Section 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-5-c-5-cleft-5-b-log-7-b-10-7-d-28-x-2-b-1-29-5-c-5-cright-5-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-28-5-c-5-cfrac-7-b-1-7-d-7-b-28-x-2-b-1-29-ln-5-c-5-c-2-c-10-7-d-5-c-5-c-29-3-c-2-fspan-3-e-3-c-2-fp-3-e,3-cp-3-e-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-5-c-5-cfrac-7-bd-7-d-7-bdy-7-d-5-bf-28-y-29-5-d-5-en-3-d-3-f-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-n-5-bf-28-y-29-5-d-5-e-7-bn-1-7-d-5-c-5-ctimes-f-5-c-27-28-y-29-5-c-5-ctimes-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-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-c-2-csec-5-c-5-c-2-c-28-ax-2-bb-29-5-c-5-c-2-ctan-5-c-5-c-2-c-28-ax-2-bb-29-5-c-5-c-2-cdx-3-d-5-c-5-c-2-c-2-c-5-c-5-c-2-c-28-a-5-c-5-cneq-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-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-5-c-5-cfrac-7-b-1-7-d-7-ba-7-d-5-c-5-c-2-csec-5-c-5-c-2-c-28-ax-2-bb-29-2-bc-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-e-5-e-7-bax-7-d-5-c-5-cleft-5-b-af-28-x-29-2-b-f-5-e-7-b-5-e-2-c-7-d-28-x-29-5-c-5-cright-5-ddx-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-28-e-5-e-7-bax-7-df-28-x-29-2-bc-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-class-3-d-22-math-tex-22-3-e-5-c-5-c-282-5-c-5-cunderline-7-bi-7-d-c-3-97-5-c-5-cunderline-7-bj-7-d-5-c-5-cunderline-7-bk-7-d-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-style-3-d-22-font-family-3-a-tahoma-2-c-sans-serif-22-3-e-3-cspan-style-3-d-22-font-size-3-a-14-6667-px-22-3-e-2-3-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-graph-of-the-parabola-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-y-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-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-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-4-ax-lies-in-quadrants-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-eii-and-iii-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-line-segment-having-both-the-end-points-on-a-circle-and-passing-through-the-centre-of-c-2-a-0-a-circle-is-known-as-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-e-diameter-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-there-are-feasible-solutions-in-the-feasible-region-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-einfinitely-many-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-if-283-2-c-5-29-is-midpoint-of-285-2-ca-29-and-28-b-2-c-7-29then-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-ea-3-d-3-2-c-b-3-d-1-3-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-the-function-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-f-28-x-29-3-d-7-bx-5-c-5-cover-x-5-e-2-4-7-d-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-is-discontinuous-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-28-5-c-5-cpm-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-tahoma-22-2-c-22-sans-serif-22-27-3-e-c-2-ad-c-2-ad-c-2-ad-c-2-ad-c-2-ad-c-2-ad-c-2-ad-c-2-ad-the-pair-of-line-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-will-be-orthogonal-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-a-2-bb-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-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-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-x-5-c-5-cfrac-7-b-5-c-5-cmathrm-7-bdy-7-d-7-d-7-b-5-c-5-cmathrm-7-bdx-7-d-7-d-y-3-d-0-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-then-y-equals-3-a-3-c-2-fspan-3-e-3-c-2-fspan-3-e-3-c-2-fp-3-e_-_3-cp-3-ecx-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-feasible-solution-which-maximizes-or-minimizes-the-objective-function-is-called-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-tahoma-22-2-c-22-sans-serif-22-27-3-e-optimal-solution-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-the-line-y-3-dmx-2-bc-2-c-will-be-tangent-to-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-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-c-3-d-5-c-5-cfrac-7-ba-7-d-7-bm-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-the-position-vector-of-a-point-p-28-1-2-c-2-2-c-3-29-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-28-5-c-5-cvec-7-bi-7-d-2-b-2-5-c-5-cvec-7-bj-7-d-2-b-3-5-c-5-cvec-7-bk-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-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-5-c-5-cint-5-c-5-climits-7-b-1-7-d-5-e-7-b-2-7-d-a-5-e-7-bx-7-d-5-c-5-c-2-c-dx-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-3-c-2-fspan-3-e-3-cspan-style-3-d-22-font-size-3-a-13-0-pt-22-3-eequals-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-28-5-c-5-cfrac-7-ba-5-e-7-b-2-7-d-7-d-7-bln-5-c-5-c-2-ca-7-d-5-c-5-cfrac-7-ba-7-d-7-bln-5-c-5-c-2-ca-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-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-5-c-5-cunderset-7-bx-5-c-5-crightarrow-2-7-d-7-b-lim-7-d-5-c-5-cfrac-7-bx-5-e-7-b-5-7-d-32-7-d-7-bx-2-7-d-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-3-c-2-fspan-3-e-3-cspan-style-3-d-22-font-size-3-a-13-0-pt-22-3-eequals-3-a-3-c-2-fspan-3-e-3-c-2-fp-3-e_-_3-cp-3-e-80-3-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-5-c-5-cleft-28-ax-2-bb-5-c-5-cright-29-5-e-7-bn-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-28-na-28-ax-2-bb-29-5-e-7-bn-1-7-d-5-c-5-c-29-3-c-2-fspan-3-e-3-c-2-fp-3-e,length-of-the-diameter-of-a-circle-x-3-csup-3-e-2-3-c-2-fsup-3-e-2-b-y-3-csup-3-e-2-3-c-2-fsup-3-e-3-d-4-is-3-a_-_4,the-center-of-the-circle-28-x-1-29-3-csup-3-e-2-3-c-2-fsup-3-e-2-b-28-y-2-b-3-29-3-csup-3-e-2-3-c-2-fsup-3-e-is-3-a_-_281-2-c-3-29,the-equation-of-tangent-to-the-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-2-b-2-gx-2-b-2-fy-3-d-0-at-the-origin-is-3-a_-_gx-2-bfy-3-d-0,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-parabola-if_-_h-3-csup-3-e-2-3-c-2-fsup-3-e-ab-3-d-0,the-length-of-the-diameter-of-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-6-x-2-b-8-y-3-d-0-is-3-a_-_10