Home
Class 12
MATHS
Let P be a point in the first quadrant l...

Let P be a point in the first quadrant lying on the ellipse `9x^2 + 16y^2 = 144`, such that the tangent at P to the ellipse is inclined at an angle of `135^@` to the positive direction of x-axis. The n the coordinates of P are

A

`(sqrt143/3 ,1/4)`

B

`(8/9 , sqrt77/3)`

C

`(4/sqrt2, 3/sqrt2)`

D

`(16/5 , 9/5)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    MCGROW HILL PUBLICATION|Exercise Previous Years AIEEE/JEE Main Papers|24 Videos

  • DIFFERENTIAL EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|14 Videos

  • HEIGHTS AND DISTANCES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|3 Videos

Similar Questions

Explore conceptually related problems

The point on the curve y=(x-1)(x-2) at which the tangent makes an angle of 135^(@) with the positive direction of x-axis has coordinates

The point in the first quadrant of the ellipse (x^2)/(25)+(y^2)/(144)=1 at which the tangent makes equal angles with the axes (a,b) then a+b=?

Find the sum of the focal distances of any point on the ellipse 9x^(2)+16y^(2)=144

The equation of the tangent to the ellipse x^2+16y^2=16 making an angle of 60^(@) with x-axis is

Let F_1(x_1,0) and F_2(x_2,0), for x_1 0, be the foci of the ellipse x^2/9+y^2/8=1 Suppose a parabola having vertex at the origin and focus at F_2 intersects the ellipse at point M in the first quadrant and at point N in the fourth quadrant. If the tangents to the ellipse at M and N meet at R and the normal to the parabola at M meets the x-axis at Q, then the ratio of area of the triangle MQR to area of the quadrilateral MF_1 NF_2 is

The equation of the normal at the point P (2, 3) on the ellipse 9x^(2) + 16y^(2) = 180 , is

Find an equation of the tangent to the ellipse x^2/81+y^2/49=1 at the point P whose eccentric angle is pi//6 . Also find the coordinates of P .