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If y=sin(m sin^(-1)x). then which one of...

If `y=sin(m sin^(-1)x).` then which one of the following equations is true ?

A

`(1-x^2) (d^2y)/(dx^2) + x(dy)/(dx) + m^2y = 0`

B

`(1-x^2)(d^2y)/(dx^2) - x(dy)/(dx) + m^2y = 0`

C

`(1 + x^2)(d^2y)/(dx^2) - x (dy)/(dx) - m^2 y = 0`

D

`(1+x^2)(d^2)/(dx^2)+x(dy)/(dx) - m^2 x =0`

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XII BOARDS PREVIOUS YEAR-QUESTION PAPER 2022 TERM 1 SET 1-SECTION-B
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  3. What is the domain of the function cos^(-1)(2x-3) ?

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  4. A matrix A = [a(ij)](3xx3) is defined by a(ij)={(2i+3j" ,"iltj),(5" ...

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  6. For the matrix X = [(0,1,1),(1,0,1),(1,1,0)] , then find (X^2- X) is

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  10. If A is a square matrix of order 3 and |A|=-5 then |adj A| is

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  12. If for the matrix A =[(alpha,-2),(-2, alpha)],|A^3| = 125 , then the ...

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  13. If y=sin(m sin^(-1)x). then which one of the following equations is tr...

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  14. Write the principal value of tan^(-1)sqrt((3))-cot^(-1)-sqrt((3)) .

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