JEE Advanced questions
3844 published questions with worked solutions.
- The area of the quadrilateral formed by tangents at the end points of latus recta of the ellipse x^2 9 + y^2 5 =1 is
- The tangent at (3 3 , ) is drawn to the ellipse x^2 27 +y^2=1. Then the value of such that the sum of intercepts on axes made by...
- The equation of the normal to the ellipse x^2+4y^2=16 at the end of the latus rectum in the first quadrant is
- If the tangent and the normal to x^2-y^2=4 at a point cut off intercepts a_1, a_2 on the x-axis respectively and b_1, b_2 on the...
- The normal to the rectangular hyperbola xy=c^2 at the point 't_1' meets the curve again at the point 't_2'. The value of t_1^3...
- If P and Q are the ends of a pair of conjugate diameters and C is the centre of the ellipse 4x^2+9y^2=36 then the area of the CPQ...
- If y=x and 3y+2x=0 are the equations of a pair of conjugate diameters of the ellipse x^2 a^2 + y^2 b^2 =1 then its eccentricity is
- The locus of a point P( , ) moving under the condition that the line y= x+ is a tangent to the hyperbola x^2 a^2 - y^2 b^2 =1 is
- A focus of the hyperbola 25x^2-36y^2=225 is
- The point P on the ellipse 4x^2+9x^2=36 is such that the area of the PF_1F_2= 10 where F_1, F_2 are foci. Then P has the...
- A point on the ellipse x^2=3y^2=37, where the normal is parallel to the line 6x-5y=2, is
- Let f(x) = ax^2 + bx + c, where a, b, c are rational, and f : Z Z , where Z is the set of integers. Then a + b is
- Let f(x) = ( ^ -1 x). Then [f(- 3 )], where [ ] denotes the greatest integer function, is
- Let f(1) = 1 and f(n) = 2 _ r=1 ^ n-1 f(r). Then _ n=1 ^ m f(n) is equal to
- Let f be a function satisfying f(x + y) = f(x) + f(y) for all x, y R. If f(1) = k then f(n), n N, is equal to
- Let f be a function satisfying f(x + y) = f(x) f(y) for all x, y R. If f(1) = 3 then _ r=1 ^ n f(r) is equal to
- The largest set of real values of x for which f(x) = (x + 2)(5 - x) - 1 x^2 - 4 is a real function is
- Let f(x) = (x^ 12 - x^9 + x^4 - x + 1)^ -1/2 . The domain of the function is
- The domain of the function f(x) = x - 1 - x^2 is
- The domain of the function f(x) = 1 - 1 - 1 - x^2 is