12th Class Mathematics MCQS Functions and Limits Online Test 3

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-cunderset-7-bn-5-c-5-crightarrow-5-c-5-cinfty-7-d-7-blim-7-d-5-c-5-c-2-c-5-c-5-cleft-28-1-2-b-5-c-5-cfrac-7-b-1-7-d-7-bn-7-d-5-c-5-cright-29-5-e-7-b-2-n-7-d-3-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-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-e-5-e-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-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-anti-derivative-of-c-2-a-0-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-cot-5-c-5-c-2-cx-5-c-5-c-29-3-c-2-fspan-3-e-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-ln-5-c-5-c-2-csin-5-c-5-c-2-cx-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-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-derivative-of-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-sec-5-e-7-b-1-7-dx-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-28-5-c-5-cfrac-7-b-1-7-d-7-bx-5-c-5-csqrt-7-bx-5-e-7-b-2-7-d-1-7-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-if-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-v-3-dx-5-e-7-b-3-7-d-5-c-5-c-29-3-c-2-fspan-3-e-2-c-then-the-differential-of-v-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-283-x-5-e-7-b-2-7-ddx-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-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-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-used-the-symbol-df-28-x-29-for-the-derivative-of-y-3-d-f-28-x-29-with-respect-to-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-e-cauchy-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-ex-3-d-4-is-a-line-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-eparallel-to-y-axis-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-the-graph-of-linear-equation-of-the-form-ax-2-b-by-3-d-c-is-a-line-2-c-which-divides-the-plane-into-disjoint-regions-2-c-where-a-2-c-b-and-c-are-constants-and-a-2-c-b-are-not-both-zero-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-etwo-3-c-2-fspan-3-e-3-c-2-fp-3-e,3-cp-3-e-are-tangent-to-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-5-c-5-cfrac-7-by-5-e-2-7-d-7-bb-5-e-2-7-d-3-d-1-5-c-5-c-29-3-c-2-fspan-3-e-for-all-values-of-m-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-y-3-dmx-5-c-5-c-2-c-5-c-5-cpm-5-c-5-c-2-c-5-c-5-csqrt-7-ba-5-e-2-m-5-e-2-b-5-e-2-7-d-5-c-5-c-29-3-c-2-fspan-3-e-3-c-2-fp-3-e,3-cp-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-j-3-d-5-b-0-2-c-1-5-d-5-c-5-c-29-3-c-2-fspan-3-e-is-called-unit-vectors-along-3-a-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-ey-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,ScsIw0wHUrcF5GAmCUPu,a-function-c-6-92-3-a-x-e-2-86-92-y-defined-c-6-92-28-x-29-3-d-1-is-called-3-a_-_constant-function,c-6-92-28-x-29-3-d-cos-x-2-b-sin-x-is-function-3-a_-_neither-even-nor-odd,c-6-92-28-x-29-3-d-cos-x-2-c-the-c-6-92-280-29-3-d-3-a_-_1,c-6-92-28-x-29-3-d-x-2-b-1-is-function-then-c-6-92-28-t-3-csup-3-e-2-3-c-2-fsup-3-e-1-29-3-d_-_t-3-csup-3-e-2-3-c-2-fsup-3-e,c-6-92-28-x-29-3-d-x-3-csup-3-e-2-3-c-2-fsup-3-e-2-b-sin-x-then-c-6-92-28-x-29-is-3-a_-_odd-function,cosh-3-csup-3-e-1-3-c-2-fsup-3-ex-3-d_-_3-cimg-src-3-d-22-2-fimages-2-fmcqs-2-f-12th-2-fmath-2-f-12-math-01-018-002-png-22-3-e,cosh-3-csup-3-e-2-3-c-2-fsup-3-e-x-sinh-3-csup-3-e-2-3-c-2-fsup-3-e-x-3-d_-_1,if-c-6-92-28-x-29-3-d-2-x-e-2-80-93-1-then-c-6-92-of-28-x-29-3-d_-_4-x-2-b-3,if-c-6-92-28-x-29-3-d-x-3-csup-3-e-2-3-c-2-fsup-3-e-x-2-c-then-c-6-92-28-2-29-is-equal-to-3-a_-_6,the-function-is-said-to-be-an-even-function-if-c-6-92-28-x-29-3-d-3-a_-_c-6-92-28-x-29,which-of-the-following-is-an-odd-function-3-f_-_sinhx