If normals are drawn to the ellipse `x^2 + 2y^2 = 2` from the point `(2, 3).` then the co-normal points lie on the curve
A
`(x^(2))/(2)+(y^(2))/(4)=1`
B
`(x^(2))/(4)+(y^(2))/(2)=1`
C
`(1)/(2x^(2))+(1)/(4y^(2))=1`
D
`(1)/(4x^(2))+(1)/(2y^(2))=1`
Text Solution
Verified by Experts
The correct Answer is:
C
Topper's Solved these Questions
JEE 2019
CENGAGE|Exercise Chapter 7 (Hyperbola)|7 Videos
JEE 2019
CENGAGE|Exercise Matching coluumn type|1 Videos
JEE 2019
CENGAGE|Exercise Chapter 5 (Parabola)|6 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
CENGAGE|Exercise All Questions|529 Videos
LIMITS
CENGAGE|Exercise Question Bank|17 Videos
Similar Questions
Explore conceptually related problems
If three distinct normals can be drawn to the parabola y^2-2y=4x-9 from the point (2a ,b) , then find the range of the value of adot
Find the normal to the ellipse (x^2)/(18)+(y^2)/8=1 at point (3, 2).
if tangents are drawn to the ellipse x^(2)+2y^(2)=2 all points on the ellipse other its four vertices then the mid-points of the tangents intercepted between the coorinate axs lie on the curve
If from a point P , tangents P Qa n dP R are drawn to the ellipse (x^2)/2+y^2=1 so that the equation of Q R is x+3y=1, then find the coordinates of Pdot
The number of distinct normal lines that can be drawn to the ellipse (x^2)/(169)+(y^2)/(25)=1 from the point P(0,6) is (A) one (B) two (C) three (D) four
From the point (15, 12), three normals are drawn to the parabola y^2=4x . Then centroid and triangle formed by three co-normals points is (A) ((16)/3,0) (B) (4,0) (C) ((26)/3,0) (D) (6,0)
Which of the following is/are true? There are infinite positive integral values of a for which (13 x-1)^2+(13 y-2)^2=((5x+12 y-1)^2)/a represents an ellipse. The minimum distance of a point (1, 2) from the ellipse 4x^2+9y^2+8x-36 y+4=0 is 1 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 then |alpha|<9/4dot If the length of the latus rectum of an ellipse is one-third of its major axis, then its eccentricity is equal to 1sqrt(3)
Statement 1 : Tangents are drawn to the ellipse (x^2)/4+(y^2)/2=1 at the points where it is intersected by the line 2x+3y=1 . The point of intersection of these tangents is (8, 6). Statement 2 : The equation of the chord of contact to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 from an external point is given by (x x_1)/(a^2)+(y y_1)/(b^2)-1=0
Three normals are drawn from the point (7, 14) to the parabola x^2-8x-16 y=0 . Find the coordinates of the feet of the normals.
From any point on the line (t+2)(x+y) =1, t ne -2 , tangents are drawn to the ellipse 4x^(2)+16y^(2) = 1 . It is given that chord of contact passes through a fixed point. Then the number of integral values of 't' for which the fixed point always lies inside the ellipse is