For What Value Of λ Dose The Line y = X + λ Touches The Ellipse 9x2 + 16y2 = 144.

Why Kaysons ?

Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

Live Doubt Clearing Session

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

SPEAK TO COUNSELLOR ? CLICK HERE

Download JEE Question paper & Solution Download JEE Important questions Download Complete syllabus of Maths, Physics, Chemistry

Question

For what value of λ dose the line y = x + λ touches the ellipse 9x² + 16y² = 144.

3
5
–5

medium

Solution

Correct option is

Equation of ellipse is 9x² + 16y² = 144

Comparing this with

Then we get a² = 16 and b² = 9 and comparing the line y = x + λ with y = mx + c

m = 1 and c = λ

If the line y = x + λ touches the ellipse

9x² + 16y² = 144, then

c² = a²m² + b²

.

Download JEE Question paper & Solution Download JEE Important questions Download Complete syllabus of Maths, Physics, Chemistry

SIMILAR QUESTIONS

Q1

The equation of the ellipse with focus (–1, 1), directrix x – y + 3 = 0 and eccentricity , is

easy View solution

Q2

The equation of the ellipse whose center is at origin and whihch passes through the points (–3, 1) and (2, –2) is

easy View solution

Q3

The equation x² + 4xy + y² + 2x + 4y + 2 = 0 represents

easy View solution

Q4

The equation of the tangent to the ellipse x² + 16y² = 16 making an angle of 60⁰ with x-axis is

easy View solution

Q5

The equation of the ellipse whose foci are and one of its directrix is 5x = 36.

medium View solution

Q6

Center of hyperbola 9x² – 16y² + 18x + 32y – 151 = 0 is

easy View solution

Q7

The equation of the ellipse whose centre is (2, –3), one of the foci is (3, –3) and the responding vertex is (4, –3) is

easy View solution

Q8

Find the eccentricity of the ellipse, whose foci are (–3, 4) and (3, –4) and which passes through the point (1, 2)

easy View solution

Q9

If is a tangent to the ellipse , then find out the eccentric angle of the point of tangency.

easy View solution

Q10

Find the equations of the tangents to the ellipse 3x² + 4y² = 12 which perpendicular to the line y + 2x = 4.

medium View solution