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CHOOSE the correct answer from the following alternative :if y=`tan ^(-1) frac{5-x}{1+5x}` , then the vlaue of dy/dx-

A

`-1/(1+x^2)`

B

`1/(1+x^2)`

C

5

D

`5/(1+x^2)`

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UNITED BOOK HOUSE-HIGHER SECONDARY QUESTION 2019-EXERCISE
  1. The value of lambda for which the vectors veca= hati+ 3 hat j- hat k a...

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  2. CHOOSE the correct answer from the following alternative : the domain ...

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  3. CHOOSE the correct answer from the following alternative :if y=tan ^(-...

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  4. 1. (a) ANSWER any one question: 1. solve : 2sin ^(-1) x=cos^(-1)x.

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  5. ANSWER any one question: 2. let A={1,2,3,}. Define a relation (on A) ...

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  6. (b) answer any one question:1. A= [[8,0],[4,-2]] and B=[[2,-2],[-5,1]]...

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  7. answer any one question : 2. if [[2,3],[4,5]]=[[x,3],[2x,5]] , find th...

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  8. (c)answer any three questions: 1. if y=sin ^(-1) ((2x)/(1+x^2)) , find...

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  9. answer any three questions :2. f(x)=5 -|x-1|: find the maximum value o...

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  10. answer any three questions: 3.if x>0, then show that log(1+x) > x/(1+x...

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  11. Find the differential equation of all circles which touch the x-axis a...

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  12. answer any three questions:5. if f(2)=4,f'(2)=4, then evaluate lim (x ...

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  13. answer any three questions:6. evaluate : int1^2 (xdx)/((x+1)(x+2))

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  14. show that A(2,3,-4),B (1,-2,3) and C(3,8,-11) are collinear.

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  15. if vec a= 5 hat i -hat j -3 hat k and vec b=hat i+3 hat j - 5 hat k , ...

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  16. (e)ANSWER ANY one question : 1. if P(A) =a and P(B)=b, then show that ...

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  17. if a and b are any two constants, then prove that Var (aX+b)=a^2Var(X)...

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  18. if tan ^(-1) x+tan ^(-1)y+tan ^(-1) z=pi/2 and x+y+z= sqrt3 , then sho...

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  19. (b) answer the following questions: 1. if A=[[1,2,2],[2,1,2],[2,2,1]],...

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  20. if AB=[[i,-i],[-i,i]] and B=[[1,-1],[-1,1]], then show that A^8=128B

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