The line y = 2t 2 intersects the ellipse x^ 2 9 + y^ 2 4 =1 in real points, if

Mathematics · JEE Main · NTA Exams — Co-ordinate Geometry

1. | t | ≤ 1
2. | t | < 2
3. | t | > 1
4. | t | ≥ 1

Answer

(A) | t | ≤ 1

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.

Related practice questions

• The centre of a circle passing through the points (0, 0), (1, 0) and touching the circle x 2 + y 2 = 9 is :
• The number of common tangents to the circles x^ 2 +y^ 2 =4 and x^ 2 +y^ 2 -6 x-8 y=24 is,
• The equation of a tangent to the parabola y^ 2 =8 x is y=x+z . The point on this line from which the other…
• Let P be the point of intersection of the common tangents to the parabola y^ 2 =17 x and the hyperbola 8 x^ 2…
• If the straight line through the point P(3, 4) makes an angle 6 with x-axis and meets the line 12x + 5y + 10…
• The tangent to the parabola y 2 = 16x, which is perpendicular to a line y – 3x – 1 = 0 is
• Three straight lines 2 x+11 y-5=0 24 x+7 y-20=0 and 4 x-3 y-2=0 ,
• The minimum distance of any point on the ellipse x^ 2 +3 y^ 2 +2 x y=4 from its centre is

More Co-ordinate Geometry questions · Browse all practice questions