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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 .^(20)C_(10)+.^(20)C_(1)+.^(20)C_(2)+.^(20)C_(3)+.^(20)C_(4)+.^(20)C_(12)+.^(20)C_(13)+.^(20)C_(14)+.^(20)C_(15) is

|(.^10C_4,.^10C_5,.^11C_m),(.^11C_6,.^11C_7, .^12C_(m+2)),(.^12C_8,.^12C_9,.^13C_(m+4))|=0 then find the value of m

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

int(x-.^(11)C_(1)x^(2)+.^(11)C_(2)x^(3)-.^(11)C_(3)x^(4)+...-.^(11)C_(x^(12)))dx equal to

(.1^(11)C_(0))/(1)+(.^(11)C_(1))/(2)+(.^(11)C_(2))/(3)+....+(.1^(11)C_(10))/(11)

Verify that: (i) .^(15)C_(8)+.^(15)C_(9)-.^(15)C_(7)=0 " " (ii) .^(10)C_(4)+.^(10)C_(3)=.^(11)C_(4)

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

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  2. If x1,x2,x3,x4 be the roots of the equationx^4 + a x^3+b x^2 +cx + d =...

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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. The negation of the compound proposition p vv ( ~ p vv q) is

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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(4 x^3-3 x)=a+b cos^-1 x If x in [-1/2,-1], then a+b pi=

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

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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. Solve the equation 2sin^(-1)x=tan^(-1)((2xsqrt(1-x^2))/(1-2x^2))

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

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  13. If y(x) is the solution of the differential equation (dy)/(dx)=-2x(y-1...

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

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  15. Let f(x) =x^2+ ax + b cos x, a being an integer and b is a real numbe...

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

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

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  18. Let C1 and C2 are circles defined by x^2+y^2 -20x+64=0 and x^2+y^2+...

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

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

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