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The value of |(.^(10)C(4).^(10)C(5).^(11...

The value of `|(.^(10)C_(4).^(10)C_(5).^(11)C_(m)),(.^(11)C_(6).^(11)C_(7).^(12)C_(m+2)),(.^(12)C_(8).^(12)C_(9).^(13)C_(m+4))|` is equal to zero when `m` is

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If |{:(.^(9)C_(4),.^(9)C_(5),.^(10)C_(r)),(.^(10)C_(6 ),.^(10)C_(7),.^(11)C_(r+2)),(.^(11)C_(8),.^(11)C_(9),.^(12)C_(r+4)):}|=0 , then the value of r is equal to

The value of .^(13)C_(7)+.^(13)C_(8)+.^(13)C_(9)+.^(13)C_(10)+.^(13)C_(11)+.^(13)C_(12)+.^(13)C_(13) is equal to

The value of "^(12)C_(2)+^(13)C_(3)+^(14)C_(4)+...+^(999)C_(989) is

Find the value of .^(20)C_(0) xx .^(13)C_(10) - .^(20)C_(1) xx .^(12)C_(9) + .^(20)C_(2) xx .^(11)C_(8) - "……" + .^(20)C_(10) .

The value of the determinant |(1,1,1),(.^(m)C_(1),.^(m +1)C_(1),.^(m+2)C_(1)),(.^(m)C_(2),.^(m +1)C_(2),.^(m+2)C_(2))| is equal to

Evaluate the following: (i) .^(10)C_(5) (ii) .^(12)C_(8) (iii) .^(15)C_(12) (iv) .^(n+1)C_(n) (v) .^(14)C_(9)

Find the sum 2..^(10)C_(0) + (2^(2))/(2).^(10)C_(1) + (2^(3))/(3).^(10)C_(2)+(2^(4))/(4).^(10)C_(3)+"...."+(2^(11))/(11).^(10)C_(10) .

Solve the equation ""^(11)C_(1) x^(10) - ""^(11)C_(3) x^(8) + ""^(11)C_(5) x^(6) - ""^(11)C_(7) x^(4) + ""^(11)C_(9) x^(2) - ""^(11)C_(11) = 0

The value of ((C_(1))/(C_(0))+2(C_(2))/(C_(1))+3(C_(3))/(C_(2))+"......"+10(C_(10))/(C_(9))) (where C_(r) = .^(10)C_(r) ), is 11lambda , then value of lambda is

The value of .^(n)C_(1)+.^(n+1)C_(2)+.^(n+2)C_(3)+"….."+.^(n+m-1)C_(m) is equal to a. .^(m+n)C_(n) - 1 b. .^(m+n)C_(n-1) c. .^(m)C_(1) + ^(m+1)C_(2) + ^(m+2)C_(3) + "…." + ^(m+n-1)C_(n) d. .^(m+n)C_(m) - 1

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Remove the irrationality in the denominator a. sqrt((sqrt(2)-1)/(sq...

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  2. Let x(1),x(2),x(3),x(4) be the roots (real or complex) of the equation...

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  3. The value of |(.^(10)C(4).^(10)C(5).^(11)C(m)),(.^(11)C(6).^(11)C(7).^...

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  4. Evaluate/simplify the following: |pi-3-8-2sqrt(15)|

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  5. The solution set of inequality (cot^(-1)x)(tan^(-1)x)+(2-pi/2),cot^(-1...

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  6. Write the negative of the compound proposition p vv(~pvvq)

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  7. If a = sqrt((7+4sqrt3)/(7-4sqrt3)) then the value of [a(a-14)]^2 is

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

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

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

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

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

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

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

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

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

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

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

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

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