Consider the particle travelling clockwi...

Consider the particle travelling clockwise on the elliptical path `x^2/100+y^2/25=1` The particle leaves the orbit at the point `(-8, 3)` and travels in a straight line tangent to the ellpse. At what point will the particle cross the y-axis?

`(0,-(25)/3)`

`(0,(7)/3)`

`(0,(25)/3)`

`(0,9)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

ELLIPSE
ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
ELLIPSE
ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|15 Videos
ELLIPSE
ARIHANT MATHS|Exercise Exercise For Session 3|14 Videos
DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos
ESSENTIAL MATHEMATICAL TOOLS
ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

Write the equation of the tangent to the curve y=x^2-x+2 at the point where it crosses the y-axis.

Find the slope of the tangents to the curve y=x^2(x+3) at the points where it crosses the x-axis.

A force vec((F)) = - K(yhat(i) + x hat(j)) (where K is a positive constant) acts on a particle moving in the X-Y plane. Starting from the origin, the particle is taken along the positive X-axis to the point (a, 0) and then parallel to the Y-axis to the point (a,a). The total done by the force vec(F) . of the particle is

A particle is moving in a straight line and at some moment it occupied the positions (5,2) and (-1,-2). Then the position of the particle when it is on x-axis is :

A particle travels according to the equation x=at^(3),y=bt^(3) . The equation of the trajectory is

A particle is travelling with initial veocity of 2 m//s and moves in a straight line with a restardation of 0.1 m//s^(2) . The time at which the particle is 15 m from the starting point is :

ARIHANT MATHS-ELLIPSE-Exercise (Single Option Correct Type Questions)

S and T are the foci of the ellipse x^2/a^2+y^2/b^2 = 1 and B is an en...
Text Solution
|
A circle of radius 5/sqrt2 is concentric with the ellipse x^(2)/16+y^(...
Text Solution
|
Consider the particle travelling clockwise on the elliptical path x^2/...
Text Solution
|
C is the centre of the ellipse x^(2)/16+y^(2)/9=1 and A and B are two ...
Text Solution
|
Let (alpha,beta) be a point from which two perpendicular tangents can ...
Text Solution
|
If a=[t^(2)-3t+4] and b=[3+5t], where [.] donates the greatest integer...
Text Solution
|
If the line x+2y+4=0 cutting the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...
Text Solution
|
An arc of a bridge is semi-elliptical with the major axis horizonta...
Text Solution
|
A tangent to the ellipes x^2/25+y^2/16=1 at any points meet the line x...
Text Solution
|
If tangents are drawn from any point on the circle x^(2) + y^(2) = 25...
Text Solution
|
the equation of the chord of contact of the pair of tangents drawn to ...
Text Solution
|
x-2y+4=0 is a common tangent to y^2=4x and x^4/4+y^2/b^2=1. Then the v...
Text Solution
|
The point on the ellipse x^2 + 2y^2 = 6 closest to the line x + y = 7 ...
Text Solution
|
From a point on the axis of x common tangents are drawn to the parabol...
Text Solution
|
If circumcentre of an equilateral triangle inscribed in x^(2)/a^(2) + ...
Text Solution
|
A parabola is drawn whose focus is one of the foci of the ellipse x^2...
Text Solution
|
If the maximum distance of any point on the ellipse x^2+2y^2+2x y=1 fr...
Text Solution
|
The length of the common chord of the ellipse ((x-1)^2)/9+((y-2)^2)/4=...
Text Solution
|
The eccentricity of ellipse ax^2 + by^2 + 2gx + 2fy + c = 0 if its axi...
Text Solution
|
A circle has the same center as an ellipse and passes through the foci...
Text Solution
|