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The area (in sq. units) bounded by the p...

The area (in sq. units) bounded by the parabola `y=x^2-1`, the tangent at the point (2,3) to it and the y-axis is

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JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. The set of all values of lambda for which the system of linear equatio...

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  2. Let a1, a2,...,a30 be an AP, S=sum(i=1)^(30)ai and T=sum(i=1)^(15)a(2i...

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  3. The area (in sq. units) bounded by the parabola y=x^2-1, the tangent a...

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  4. If the system of linear equations x - 4y + 7z = g 3y - 5z = h -2...

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  5. The logical statement [~(~pvee q) vee (p vee r) wedge (~q wedge r)] i...

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  6. Equation of the plane containing the straight line (x)/(2)= (y)/(3)= (...

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  7. The number of all possible positive integral values of alpha for whic...

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  8. Let veca = 2hati+lambda1 hatj+3hatk, vec(b)=4hati+(3-lambda2) hatj+6ha...

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  9. Let d in R, and A = [(-2,4+d,(sintheta)-2),(1,(sintheta)+2,d),(5,(...

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  10. The area enclosed between the curves y=kx^2" and " x=ky^2,(kgt0) is 1 ...

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  11. Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...

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  12. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...

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  13. Let the length of the latus rectum of an ellipse with its major axis a...

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  14. Let S={1,2,...,20}. A subset B of S is said to be ''nice'', if the sum...

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  15. An ordered pair (alpha, beta) for which the system of linear equations...

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  16. The product of three consecutive terms of a G.P. is 512. If 4 is added...

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  17. Let y(x) is the solution of differential equation x(dy)/(dx)+y=x logex...

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  18. The perpendicular distance from the origin to the plane containing the...

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  19. If the vertices of a hyperbola be at (-2, 0) and (2, 0) and one of its...

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  20. The set of all values of lambda for which the system of linear equatio...

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