JEE Advanced questions
3844 published questions with worked solutions.
- An ellipse having foci at (3, 1) and (1, 1) passes through the point (1, 3). Its eccentricity is
- A point on the ellipse x^2 6 + y^2 2 = 1 at a distance 2 from the centre of the ellipse has the eccentric angle
- A point P on the ellipse x^2 25 + y^2 9 = 1 has the eccentric angle 8 . The sum of the distances of P from the two foci is
- If any point on a hyperbola has the coordinates (5 , 4 ) then the eccentricity of the hyperbola is
- The slope of the diameter of the ellipse x^2 a^2 + y^2 b^2 = 1, whose length is the GM of the major and minor axes, is
- PP' is a diameter of the ellipse b^2x^2 + a^2y^2 = a^2b^2 such that PP'^2 is the AM of the squares of the major and minor axes....
- P is a variable point on the ellipse x^2 a^2 + y^2 b^2 = 2 whose foci are F_1 and F_2. The maximum area (in unit²) of the PF_1F_2...
- Which of the following points is an exterior point of the ellipse 16x^2 + 9y^2 - 16x - 32 = 0?
- The foci of the ellipse x^2 16 + y^2 b^2 =1 and the hyperbola x^2 144 - y^2 81 = 1 25 coincide. Then the value of b^2 is
- The equation of the tangent to the ellipse 4x^2+3y^2=12 at the point whose eccentric angle is 4 is
- The number of values of m for which the line y=mx+ m^2-4 touches the hyperbola 4(x^2-1)=y^2 is
- The value of c for which the line y=3x+c touches the ellipse 16x^2+y^2=16 is
- The number of values of [0,2 ] for which the line 2x +3y =6 touches the ellipse 4x^2+9y^2=36 is
- The line 3x+5y=k is a tangent to the ellipse 16x^2+25y^2=400 if k is
- The line px+qy=r touches the hyperbola b^2x^2-a^2y^2=a^2b^2 if
- The equation of the tangent to the ellipse x^2 25 + y^2 16 =1, which is parallel to the line y=3x, is
- If the tangents from the point ( ,3) to the ellipse x^2 9 + y^2 4 =1 are at right angles then is
- A point on the ellipse x^2+3y^2=9, where the tangent is parallel to the line y-x=0, is
- The ordinate of the point of contact of a tangent is 2. Then the equation of the tangent to x^2+4y^2=25 is
- If the tangent to the ellipse x^2+4y^2=16 at the point ' ' is a normal to the circle x^2+y^2-8x-4y=0 then is equal to