11th Class Mathematics MCQS Mathematical Inductions and Binomial Theorems Online Test 2

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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-22-2-c-22-serif-22-27-3-e-3-cspan-style-3-d-22-color-3-ablack-22-3-epakistan-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-ecan-be-made-2-c-taken-all-together-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-22-2-c-22-serif-22-27-3-e-3-cspan-style-3-d-22-color-3-ablack-22-3-e-20160-3-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-value-of-the-polynomial-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-284-x-5-e-4-2-b-6-x-5-e-3-2-bx-5-e-2-2-bx-3-5-c-5-c-29-3-c-2-fspan-3-e-at-x-3-d-2-is-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-15-3-c-2-fp-3-e,3-cp-3-e-for-any-non-singular-matrix-a-2-c-c-2-a-0-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-a-5-e-7-b-1-7-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-28-5-c-5-cfrac-7-badj-5-c-5-c-2-c-a-7-d-7-b-7-ca-7-c-7-d-5-c-5-c-29-3-c-2-fspan-3-e-3-c-2-fp-3-e,3-cp-3-e-if-a-function-c-2-a-0-3-cspan-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-f-3-a-a-5-c-5-crightarrow-b-5-c-5-c-29-3-c-2-fspan-3-e-c-2-a-0-is-such-that-range-f-3-d-b-then-f-is-called-3-a-3-c-2-fp-3-e_-_3-cp-3-e-surjective-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-28-5-c-5-cfrac-7-bx-5-e-2-2-b-15-7-d-7-b-28-x-5-e-2-2-b-2-x-2-b-5-29-28-x-1-29-7-d-3-d-5-c-5-cfrac-7-ba-7-d-7-bx-1-7-d-2-b-5-c-5-cfrac-7-b-bx-2-bc-7-d-7-bx-5-e-2-2-b-2-x-2-b-5-7-d-5-c-5-c-29-3-c-2-fspan-3-e-2-c-then-b-is-3-a-3-c-2-fp-3-e_-_3-cp-3-e-1-3-c-2-fp-3-e,3-cp-style-3-d-22-margin-right-3-a-0-in-3-b-text-align-3-ajustify-22-3-e-3-cspan-style-3-d-22-font-size-3-a-11-pt-22-3-e-3-cspan-style-3-d-22-font-family-3-a-tahoma-2-csans-serif-22-3-e-factorial-form-of-n-28-n-1-29-28-n-2-29-c-2-a-0-is-3-cspan-style-3-d-22-font-size-3-a-10-0-pt-22-3-e-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-class-3-d-22-math-tex-22-3-e-5-c-5-c-28-n-21-5-c-5-cover-28-n-3-29-21-5-c-5-c-29-3-c-2-fspan-3-e-3-c-2-fp-3-e,30-2-c-expansion-of-281-2-bx-29-is-valid-only-if-3-a_-_7-cx-7-c-26-lt-3-b-1,if-n-is-even-2-c-then-middle-term-is-the-expansion-of-28-a-2-b-x-29-3-csup-3-en-3-c-2-fsup-3-e-is-3-a_-_3-cimg-src-3-d-22-2-fimages-2-fmcqs-2-f-11th-2-fmath-2-f-11-math-08-013-002-png-22-3-e,in-expansion-of-28-a-2-b-b-29-3-csup-3-e-7-3-c-2-fsup-3-e-2-c-the-2nd-term-is-3-a_-_7-a-3-csup-3-e-6-3-c-2-fsup-3-e-b,in-the-expansion-of-28-x-2-b-2-29-2-cmiddle-term-is-3-a_-_t-3-csub-3-e-7-3-c-2-fsub-3-e,middle-term-of-28-a-2-b-b-29-3-csup-3-en-3-c-2-fsup-3-e-2-c-when-n-is-even-is-3-a_-_3-cimg-src-3-d-22-2-fimages-2-fmcqs-2-f-11th-2-fmath-2-f-11-math-08-016-002-png-22-3-e,sum-of-coefficient-in-the-expansion-of-281-2-b-x-29-3-csup-3-e-5-3-c-2-fsup-3-e-is-3-a_-_32,the-coefficient-of-last-term-in-the-expansion-of-28-a-2-b-b-29-3-csup-3-e-5-3-c-2-fsup-3-e-is-3-a_-_1,the-expression-of-281-3-d-2-x-29-3-csup-3-e-1-3-c-2-fsup-3-e-is-valid-of-3-a_-_3-cimg-src-3-d-22-2-fimages-2-fmcqs-2-f-11th-2-fmath-2-f-11-math-08-029-002-png-22-3-e,the-middle-term-in-the-expansion-of-281-2-b-2-x-29-3-csup-3-e-6-3-c-2-fsup-3-e-is-3-a_-_fourth,the-number-of-terms-in-the-expansion-of-28-a-2-bb-29-3-csup-3-en-3-c-2-fsup-3-e-is-3-a_-_n-2-b-1,the-sum-of-all-coefficients-in-the-binomial-expansion-of-281-2-bx-29-3-csup-3-en-3-c-2-fsup-3-e-is-3-a_-_2-3-csup-3-en-3-c-2-fsup-3-e,the-sum-of-even-coefficients-in-the-expansion-281-2-b-x-29-3-csup-3-en-3-c-2-fsup-3-e-is-equal-3-a_-_2-3-csup-3-en-1-3-c-2-fsup-3-e,the-sum-of-odd-coefficients-in-the-expansion-of-281-2-bx-29-3-csup-3-e-4-3-c-2-fsup-3-e-is-3-a_-_8