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If g(x)=2f(2x^(2)-3x^(2))+f(6x^(2)-4x^(3...

If `g(x)=2f(2x^(2)-3x^(2))+f(6x^(2)-4x^(3)-x), AA x in R and f''(x) gt 0, AA x in R`, then g(x) is increasing for x belonging to

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. In a parallelogram as shown in the figure (a != b) Prove that the ...

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  2. If (x1, y1)&(x2, y2) are the solutions of the equaltions, (log)(225)(x...

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  3. If g(x)=2f(2x^(2)-3x^(2))+f(6x^(2)-4x^(3)-x), AA x in R and f''(x) gt ...

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  4. Sum of roots of equations f(x) - g(x)=0 is (a)0 (b) 2alpha (c) -2al...

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  5. The function f(x)=(4-x^2)/(4x-x^3) (a) discontinuous at only one poin...

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  6. Let f(x)= x^2+2ax+b, g(x)=cx^2+2dx+1 be quadratic equation whose grap...

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  7. Let f(x)=x^2+2a x+b ,g(x)=c x^2+2dx+1 be quadratic expressions whose g...

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  8. If 2^(x)+2^(y)=2^(x+y) then (dy)/(dx)is equal to

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  9. All the values of ' a ' for which the quadratic expression a x^2+(a-2)...

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  10. If If {:(" ""x"),(y=""),(" ""x"),(" ""a+")...

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  11. int ( 1+ x + sqrt( x+ x^(2)))/(( sqrt(x) + sqrt( 1+x))dx is equal to

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  12. If we reduce 3x+3y+7=0 to the form xcosalpha+ysinalpha=p , then find t...

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  13. "If "xsqrt(1+y)+ysqrt(1+x)=0," prove that "(dy)/(dx)=-(1)/((x+1)^(2)).

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  14. Harmonic conjugate of the point (5, 13) with respect to (2,-5) and (3,...

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  15. If a x^2+2h x y+b y^2=0, then (dy)/(dx) is equal to y/x (b) x/y (c) ...

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  16. If the pair of lines ax^2+2hxy+by^2+2gx+2fy+c=0 intersect on Y-axis , ...

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  17. If d/dx\ ((1+x^2+x^4)/(1+x+x^2)) = ax+b, then (a, b) =

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  18. For the equation, 3x^2+p x+3=0,p >0, if one of the roots is square of...

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  19. Let e^(f(x))=lnxdot If g(x) is the inverse function of f(x), then g...

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  20. Among (i) underset(xtooo)limsec^(-1)((x)/(sinx))" and "(ii) underset(x...

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