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Let cos^(-1) (4x^(3) -3x) = a + b cos^(-...

Let `cos^(-1) (4x^(3) -3x) = a + b cos^(-1) x`
If `x in [-1, -(1)/(2))`, then the value of `a + b pi` is

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
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  2. If a = sqrt((7+4sqrt3)/(7-4sqrt3)) then the value of [a(a-14)]^2 is

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  3. Let cos^(-1) (4x^(3) -3x) = a + b cos^(-1) x If x in [-1, -(1)/(2)),...

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  4. A set of n values x(1),x(2),…….,x(n) has standard deviation sigma. The...

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  5. If roots of x^3+bx^2+cx+d=0 are (A) in A.P. then 2b^3-9bc+27d=0 (B) ...

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  6. Prove 2sin^(-1)x=tan^(-1)((2xsqrt(1-x^2))/(1-2x^2))

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  7. The number of roots of the equation (log)(3sqrt("x"))x+(log)(3x)sqrt(x...

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  8. For each positive integer n , let f(n+1)=n(-1)^(n+1)-2f(n) and f(1)=(2...

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  9. If y(x) is the solution of the differential equation (dy)/(dx)=-2x (y-...

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  10. If alpha and beta are the roots of the quadratic equation x^(2) - 4...

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  11. Let f (x) =x^(2), lamda x+ mu cos x, lamda being an integer and mu us ...

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  12. Value of lambda for which(lambda,lambda^2) lies between the lines |x+2...

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  13. Solve for x :5^(logx)+5x^(log5)=3(a >0); where base oflog\ is a

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  14. A parabola is drawn whose focus is one of the foci of the ellipse x^2...

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  15. Let C(1) and C(2) are circles defined by x^(2) + y^(2) - 20x + 64 = 0 ...

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  16. The number solution of the equation sgn(x^2)=|x-2| is (a)1 (b) 0 ...

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  17. If alpha,beta are the roots of the equation, x^2-2x+3=0, find the e...

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  18. The function f(x)={(1-2x+3-4x^(3)+…oo,|x|lt1),(1,x=-1):}

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  19. Let f:RtoR be a differentiable function such that f(x)=x^(2)+int(0)^(x...

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  20. If (x1, y1)&(x2, y2) are the solutions of the equaltions, (log)(225)(x...

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