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Exactly two real roots, when k belongs to

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Equation 3sqrt(-2(x+3))-1=|x+3|+a has exactly two real roots , then the maximum possible value of |[a]| is _________. { where [.] denotes the greatest integer function } .

If the equation x ^(4)+kx ^(2) +k=0 has exactly two distinct real roots, then the smallest integral value of |k| is:

find the condition that px^(3) + qx^(2) +rx +s=0 has exactly one real roots, where p ,q ,r,s,in R

If the equation (x/(1+x^2))^2+a(x/(1+x^2))+3=0 has exactly two real roots which are distinct, then the set of possible real values of a is ((-13)/2,0) (b) (oo,-(13)/2) ((-13)/2,(13)/2) (d) ((13)/2,oo)

If the equation (x/(1+x^2))^2+a(x/(1+x^2))+3=0 has exactly two real roots which are distinct, then the set of possible real values of a is ((-13)/2,0) (b) (oo,-(13)/2) ((-13)/2,(13)/2) (d) ((13)/2,oo)

The values of 'K' for which the equation |x|^2 (|x|^2 – 2k + 1) = 1 - k^2 , has No root, when k belongs to

If the equation k sin x + sqrt(k-2)cos x+(tan alpha+cot alpha)=0, 0 lt alpha lt(pi)/(2) , possesses real solution, then k belongs to

The values of 'a' for which the quadraic expression ax^(2)+(a-2)x-2 is negative for exactly two integral values of x , belongs to

If the cubic equation 3x^3 +px +5=0 has exactly one real root then show that p gt 0

If the system of equation r^(2)+s^(2)=t and r+s+t=(k-3)/(2) has exactly one real solution, then the value of k is

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If z1,z2,z3 are vertices of a triangle such that |z1-z2|=|z1-z3| then...

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  2. letp(x)=4x^2+6x+4 and q(y)=4y^2-12Y+25. Find the unique pairs of real ...

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  3. Exactly two real roots, when k belongs to

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  4. The hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 passes through the point (2, )...

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  5. Let f: RvecR be a continuous and differentiable function such that f^(...

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  6. If A is a square matrix of order 3 such that |A|=2, then |("adj "A^(-1...

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  7. The coefficient of the term independent of x in the expansion of (sqrt...

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  8. If (1+x-2x^2)^6=1+a1x+a2x^(2)++a(12)x^(12), then find the value of a2+...

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  9. If the line x-1=0 is the directrix of the parabola y^(2)-kx+8=0, then ...

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  10. Consider lim(x->0)(a x+b e^(-x)+sinx+1)/(a x-bsinx)=l(l is finite) the...

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  11. The value f the integral int(-pi)^pisinm xsinn xdx , for m!=n(m , n in...

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  12. int(-pi)^(pi) ( e^(sin x ))/( e^(sinx) + e^(-sinx))dx is equal to

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  13. Four persons are selected at random out of 3 men, 2 women and 4 chi...

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  14. If A and B are acute positive angles satisfying the equations 3 sin^(2...

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  15. The equation of the plane through the intersection of the planes x+y+z...

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  16. The position vectors of the points Pa n dQ with respect to the orig...

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  17. If the system of linear equations {:(x+2ay+az=0),(x+3by+bz=0),(x+4cy...

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  18. Let f(x+y) = f(x). F(y) for all x and y. Suppose f(5) = 2 and f'(0) = ...

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  19. intx^(51)(tan^(- 1)x+cot^(- 1)x)dx=

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  20. General solution of differential equation x^(2)(x+y(dy)/(dx))+(x(dy)/(...

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