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if the graph of the cont. function `y=f(x)` passes through the point (a, 0) and `f(x)!=0` in the deleted neighbourhood of a then `(lim)_(x->a)("log"{6f^2(x)-3f(x)+1})/(3f(x))=` (A) 2 (B) 1 (C) -1 (D) none of these

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JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. The antiderivative of (2^x)/(sqrt(1-4^x)) w.r.t x is (A) (log)2edotsin...

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  2. The minimum value of, 25cosec^2x+16sin^2x is (A) 41 (B) 42 (C) 43 ...

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  3. if the graph of the cont. function y=f(x) passes through the point (a,...

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  4. The sum of the intercepts made by the plane a x+b y+c z=d on the three...

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  5. The value of sin^(-1)("cos"(cos^(-1)(cosx)+sin^(-1)(sinx))), where x i...

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  6. If sin^(-1)x-cos^(-1)x=pi/6 , then x= (a)1/2 (b) (sqrt(3))/2 (c) -1/2...

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  7. Area bounded by the curve y=sqrt(sin[x]+[sinx]),(w h e r e[dot] is gre...

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  8. Let f:[0,r]vec[-1,5],w h e r ef(x)={x^2-1,0lt=x<2 4,x=2,t h e nf(x)i s...

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  9. If a triangle is inscribed in a rectangular hyperbola, it’s orhtocente...

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  10. A box contains 5 different res and 6, different whit balls. In how man...

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  11. Let y=g(x) be the solution of the differential equation sinx ((dy)/(...

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  12. The sum of the co-efficients of all odd degree terms in the expansion ...

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  13. Let S={t in R: f(x)=|x-pi|(e^(|x|)-1)sin|x| is not differentiable at t...

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  14. about to only mathematics

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  15. If the curves y^2=6x, 9x^2+by^2=16 intersect each other at right angle...

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  16. A straight line through a fixed point (2,3) intersects the coordinate ...

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  17. Tangent and normal are drawn at P(16,16) on the parabola y^2=16x which...

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  18. Tangents are drawn to the hyperbola 4x^2-y^2=36 at the points P and Q....

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  19. Let f(x)=x^2+ 1/x^2 and g(x)=x-1/x, x in R-{-1,0,1}. If h(x) = f(x)/...

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  20. Let the orthocentre and centroid of a triangle be A(-3,5) and B(3,3) ...

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