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If `x_1,x_2,x_3,x_4` be the roots of the equation`x^4 + a x^3+b x^2 +cx + d =0`. If `x_1 +x_2 = x_3 + x_4` and `a,b,c,d in R`,then (i) lf a =2, then the value of b-c (ii) `b <0`, then how many different values of a, we may have

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

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

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

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

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

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

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

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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-1...

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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+ ax + b cos x, a being an integer and b is a real numbe...

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

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

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

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