Home
Class 12
MATHS
The straigth line y = 2t^(2) intesects...

The straigth line `y = 2t^(2)` intesects the ellipse `(x^(2))/(9)+(y^(2))/(4) = 1 ` at a real points if `|t| le k ` then the value of k is _

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (D comprehension Type)|7 Videos
  • ELLIPSE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams ( A M . C . Q )|5 Videos
  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos
  • GENERAL SOLUTIONS OF TRIGNOMETRIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type-|2 Videos

Similar Questions

Explore conceptually related problems

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

The straight line x + y = a will be a tangent to the ellipse (x^(2))/(9) + (y^(2))/(16) = 1 if the value of a is -

The line x =2 y intersects the ellipse (x^(2))/(4) +y^(2) = 1 at the points P and Q . The equation of the circle with pq as diameter is _

Lines x + y = 1 and 3y = x + 3 intersect the ellipse x^(2) + 9y^(2) = 9 at the points P , Q , R . The area of the triangle PQR is _

If from a point P(0,alpha) , two normals other than the axes are drawn to the ellipse (x^2)/(25)+(y^2)/(16)=1 such that |alpha| < k then the value of 4k is

Find the number of rational points on the ellipse (x^2)/9+(y^2)/4=1.

P (2 , k) is on the ellipse x^(2) + 2y^(2) = 6 . For what value of k the point P is nearest to the line x + y = 7 ?

The locus of the point of intersection of two perpendicular tangents to the ellipse (x^(2))/(9) +(y^(2))/(4)=1 is -

On the ellipse 4x^(2)+9y^(2)=1 , the points at which the tangents are parallel to the line 8x=9y are-

Find the points on the ellipse (x^2)/4+(y^2)/9=1 on which the normals are parallel to the line 2x-y=1.