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Number of integers satisfying the inequa...

Number of integers satisfying the inequation `(x^2-x-1)(x^2-x-7)<-5,` are 4 (b) 2 (c) 1 (d) 0

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Which of the following equations have no real solutions? (a) x^2-2x+5...

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  2. Let y=1/(2+1/(3+1/(2+1/(3+)))) , then the value of y is (a)(sqrt(1...

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  3. Number of integers satisfying the inequation (x^2-x-1)(x^2-x-7)<-5, ar...

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  4. If the quadratic equations, a x^2+2c x+b=0 and a x^2+2b x+c=0(b!=c) ha...

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  5. If the expression cos(x - 3pi/2) + sin(3pi/2+x) + sin(32pi+x) - 18 cos...

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  6. Domain of f(x)=sin^(-1)[2-4x^2], where [.] denotes the greatest intege...

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  7. If 2tan^2x-5secx=1 for exactly seven distinct value of x in [0,(npi)/2...

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  8. If sin^(-1)((2x)/(1+x^2))-4cos^(-1)((1-x^2)/(1+x^2))+2tan^(-2)((2x)/(1...

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  9. 1.The slope of the normal at the point with abscissa x = -2 of the gra...

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  10. Number of points of non-differentiability of the function g(x) = [x^2...

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  11. If ' a ' is a natural number and ' b ' a digit such that(3a+2007)^2=4b...

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  12. Let f(x)={(sinx^2)/x x!=0 0x=0, then f^(prime)(0^+)+f^(prime)(0^-) h...

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  13. Solve the inequality: 1<(3x^2-7x+8)/(x^2+1)lt=2

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  14. P and Q have position vectors a and b relative to the origin O and X,Y...

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  15. Solution set of the inequation, (x^2-5x+6)/(x^2+x+1)<0 is x in (-oo,2)...

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  16. The vertices of a triangle are A(1,1,2),B(4,3,1)a n dC(2,3,5) . A vect...

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  17. If the points ((a^3)/((a-1))),(((a^2-3))/((a-1))),((b^3)/(b-1)),(((b^2...

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  18. Let f(x)= cosec 2x + cosec^(2)2 x+ cosec^(2)3 x+........+ cosec^(2)n ...

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  19. Let ' P ' a point on the line y=3x and Q lies on 2y+x=2 and the mid-po...

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  20. Let f(x) be a function such that its derovative f'(x) is continuous in...

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