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If A and B are square matrices of the sa...

If A and B are square matrices of the same order, then show that `(AB)^(-1) = B^(-1)A^(-1)`.

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OSWAAL PUBLICATION-SOLVED PAPER ( Topper Answers March - 2015 )-PART - B
  1. Show that if f: A to B and g : B to C are onto, then gof A to C is als...

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  2. Prove the following: sin^(-1)(2xsqrt(1-x^(2)))=2sin^(-1)x,-1/(sqrt(2...

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  3. Prove that 2"tan"^(-1)1/2+"tan"^(-1)1/7="tan"^(-1)31/17

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  4. If the area of the triangle with vertices (-2, 0), (0, 4) and (0, k) i...

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  5. Differentiable (x + 1/x)^x with respect to x.

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  6. Find the slope of the tangent to the curve y = (x - 1)/(x - 2), x!= 2 ...

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  7. Find (dy)/(dx) given x^(2) + xy + y^(2) = 100.

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  8. Evalute : int (cos 2 x - cos2 alpha)/(cos x - cos alpha)dx.

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  9. Evaluate: int(dx)/(x-sqrtx).

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  10. Find the order and degree, if defined of the differential equation ((d...

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  11. Find |vecb|,if (veca+vecb).(veca-vecb)=8 and |veca|=8|vecb|.

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  12. If "tan"^(-1)(x-1)/(x-2)+"tan"^(-1)(x+1)/(x+2)=(pi)/4, find x

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  13. If A and B are square matrices of the same order, then show that (AB)^...

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  14. Verify Rolle's theorem for the function f(x)=x^(2)+2x-8, x in [-4,2].

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  15. If x=sqrt(a^(sin^(-1)t)) then prove that (dy)/(dx)=(-y)/(x)

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  16. Find two positive number whose sum is 15 and the sum of whose squares ...

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  17. Evalute : int x tan^(2) xdx.

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  18. Evalute : underset(0)overset(2)(int) e^x dx as the limit of a sum.

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  19. Form the differential equation of the circles touching the x-axis at o...

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  20. An insurance company insured 2000 scooter drivers, 4000 car drivers an...

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