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If the equation of the normal to the cur...

If the equation of the normal to the curve `y=f(x) at x=0` is `3x-y+3=0` then the value of
`underset(xrarr0)(lim)(x^(2))/({f(x^(2))-5f(4x^(2))+4f(7x^(2))})` is

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Comprehension # 'A ray M is sent along the line (x-0)/2=(y-2)/2=(z-1)...

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  2. Equation of a straight line passing through the origin and making with...

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  3. If the equation of the normal to the curve y=f(x) at x=0 is 3x-y+3=0 t...

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  4. If f(x)=x^4-2x^3+3x^2-a x+b is a polynomial such that when it is divid...

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  5. Let the co-ordinates of the two points A&B be (1, 2) and (7, 5) respec...

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  6. Evaluate: int(x+1)/(x(1+x e^x)^2)dx

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  7. If (log)a b=2,(log)b c=2,a n d(log)3c=3+(log)3a , then the value of c/...

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  8. Number of integral solutions of the equation (log)(x-3)((log)(2"x"^2-2...

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  9. Range of f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x is (pi/4,(3pi)/4) (b) [pi...

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  10. If the matrix satisfies the equation [[1,-2], [4, 3]]+2x=[[2, 1,-2],[ ...

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  11. Find the range of f(x), where f(x)=cos(sin(In(x^2+e)/(x^2+1)))+sin(cos...

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  12. A line cuts the x-axis at A (7, 0) and the y-axis at B(0, - 5) A varia...

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  13. If A= {3, 5, 7, 9, 11}, B = {7, 9, 11 , 13}, C = {11 , 13 , 15}andD = ...

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  14. The value of expression, log4((x^2)/4)-2log4(4x^4) when x=-2 is (a)-6...

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  15. At the point P(a,a^(n)) on the graph of y=x^(n),(n in N), in the first...

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  16. Let N=(4^5+4^5+4^5+4^5)/(3^5+3^5+3^5)dot(6^5+6^5+6^5+6^5+6^5+6^5)/(2^5...

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  17. If | vec a|=2,| vec b|=5a n d vec adot vec b=0, then vec a x ( vec ax...

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  18. If x=(log)k b=(log)b c=1/2(log)c d , then (log)k d is equal to 6x (b)...

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  19. If f(x) =x^(3)+bx^(2)+cx+d and 0lt b^(2)ltc then in (-oo,oo)

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  20. The number of solution of the equation log(-2x)= 2 log(x+1) are

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