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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. A plane parallel to y-axis passing through line of intersection of pla...

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  2. Find common tangent of the two curve y^(2)=4x and x^(2)+y^(2)-6x=0 ...

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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. int(5x^8+7x^6)/(x^2+1+2x^7)^2dx is equal to (a) x/(x^2+1+2x^7)+C (b) ...

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

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  6. The coeficient of t^(4) in the expansion of ((1-t^(6))/(1-t))^(3) is

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  7. If sum(i=1)^n(xi+1)^2=9n and sum(i=1)^n(xi-1)^2=5n, then standard devi...

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  8. The number of natural numbers less than 7,000 which can be formed by u...

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  9. An urn contains 5 red and 2 green balls, one ball is chosen from urn. ...

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  10. Find sum of first 15 term of series 1+6+(9(1^2+2^2+3^2))/7+(12(1^2+2^2...

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  11. Let z(0) be a root of the quadratic equation x^(2) + x + 1 = 0. If z =...

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  12. let veca=hati+hatj+sqrt2hatk vecb=b1hati+b2hatJ+sqrt2hatk vecc=5hati+...

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  13. int(0)^((pi)/(3))(tanx)/(sqrt(2ksecx))dx=1-(1)/(sqrt2), then value of ...

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  14. Find number of solution of equation sinx-sin2x+sin3x=0 in 0lexle(pi)/(...

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  15. Find area enclosed by curve 0leylex|x|+1 between -1lexle1 (a) ...

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  16. Find the value of lim(xrarr0)(x(([x]+|x|)sin[x]))/(|x|). (a) -...

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  17. Let y=y(x) is a solution of (dy)/(dx)=f(x) where f(xy)=f(x)f(y) AA x,y...

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  18. If A(4,-4) and B(9,6) lies on y^2=4x and a point C on arc AOB(O= ori...

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  19. If the circles x^2+y^2-16x-20y+164=r^2 and (x-4)^2+(y-7)^2=36 intersec...

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  20. Find the eccetricity of hyperbola through (4,2) whose centre is (0,0)...

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