Ellipse
Showing 33 of 183 · 183 total
- 151.If the tangents on the ellipse 4x2 + y2 = 8 at the points (1, 2) and (a, b) are perpendicu…Medium
- 152.If the tangent to the parabola y2 = x at a point ([ ], [ ]), ([ ] > 0) is also a tangent t…Medium
- 153.Let x = 4 be a directrix to an ellipse whose centre is at the origin and its eccentricity …Medium
- 154.Let [x^2 a^2 + y^2 b^2 = 1] (a > b) be a given ellipse, length of whose latus rectum is 10…Medium
- 155.If the co-ordinates of two points A and B are [( 7 ,0 )] and [( - 7 ,0 )] respectively and…Easy
- 156.Let the line y = mx and the ellipse 2x2 + y2 = 1 intersect at a ponit P in the first quadr…Medium
- 157.If the points of intersections of the ellipse [x^2 16 + y^2 b^2 = 1] and the circle x2 + y…Medium
- 158.Let a tangent be drawn to the ellipse [x^2 27 + y^2 = 1] at [(3 3 , )] where [0 ( 0, 2 )].Medium
- 159.Let [E_1:x^2 a^2 + y^2 b^2 = 1,a > b].Medium
- 160.If the curve x2 + 2y2 = 2 intersects the line x + y = 1 at two points P and Q, then the an…Medium
- 161.If a tangent to the ellipse x2 + 4y2 = 4 meets the tangents at the extremities of it major…Medium
- 162.Let an ellipse [E:x^2 a^2 + y^2 b^2 = 1], a^2 > b^2, passes through [( 3 2 ,1 )] and has e…Medium
- 163.On the ellipse [x^2 8 + y^2 4 = 1] let P be a point in the second quadrant such that the t…Medium
- 164.If x2 + 9y2 - 4x + 3 = 0, x, y [] R, then x and y respectively lie in the intervals :Medium
- 165.A ray of light through (2, 1) is reflected at a point P on the y-axis and then passes thro…Hard
- 166.An angle of intersection of the curves, [x^2 a^2 + y^2 b^2 = 1] and x2 + y2 = ab, a > b, i…Medium
- 167.Let the maximum area of the triangle that can be inscribed in the ellipse [x^2 a^2 + y^2 4…Medium
- 168.If the ellipse [x^2a^2+y^2b^2=1] meets the line [(x)/(7)+y2 √6=1] on the x-axis and the li…Medium
- 169.The acute angle between the pair of tangents drawn to the ellipse 2 x^2+3 y^2=5 from the p…Medium
- 170.If m is the slope of a common tangent to the curves [x^2 16 + y^2 9 = 1] and x^2 + y^2 = 1…Medium
- 171.The locus of the mid point of the line segment joining the point (4, 3) and the points on …Medium
- 172.Let the eccentricity of an ellipse [x^2 a^2 + y^2 b^2 = 1], a > b, be [1 4].Medium
- 173.Let a line L pass through the point of intersection of the lines b x+10 y-8=0 and [2 x-3 y…Medium
- 174.Let the eccentricity of the ellipse x^2 + a^2y^2 = 25a^2 be b times the eccentricity of th…Medium
- 175.Let the ellipse E:x^2 + 9y^2 = 9 intersect the positive x and y-axes at the points A and B…Medium
- 176.Let the tangent and normal at the point [(3 √3, 1)] on the ellipse [x^236+y^24=1] meet the…Hard
- 177.In a group of 100 persons 75 speak English and 40 speak Hindi.Medium
- 178.Let [A(, 0)] and [B(0, )] be the points on the line 5 x+7 y=50.Medium
- 179.Let P be a parabola with vertex (2,3) and directrix 2 x+y=6.Medium
- 180.Let the line [2 x+3 y-k=0, k>0], intersect the x-axis and y-axis at the points [A] and [B]…Medium
- 181.Let the ellipse E_1: (x^2)/(a^2) + (y^2)/(b^2) = 1, a > b and E_2: (x^2)/(A^2) + (y^2)/(B^…Medium
- 182.Let C be the circle of minimum area enclosing the ellipse E: (x^2)/(a^2)+(y^2)/(b^2)=1 wit…Medium
- 183.Let for two distinct values of p the lines y=x+p touch the ellipse E: (x^2)/(4^2)+(y^2)/(3…Medium