Home
Class 11
MATHS
If a point P(x, y) moves along the ellip...

If a point P(x, y) moves along the ellipse `x^(2)/25+y^(2)/16=1` and if C is the centre of the ellipse, then, 4 max {CP) + 5 min {CP}=

A

25

B

40

C

45

D

54

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Foci of the ellipse 16x^(2)+25y^(2)=400 are

Number of points on the ellipse x^2/25+y^2/7=1 whose distance from the centre of the ellipse is 2sqrt7 is

The area bounded by the ellipse x^(2)/4 + y^(2)/25 = 1 is

For the ellipse 12x^(2)+4y+24x-16y+25=0

The line 3x+5y=k touches the ellipse 16x^(2)+25y^(2)=400 ,if k is

For the ellipse 4x^(2)+5y^(2)-16x-30y+60=0 , which of the following is true ?

The centre of the ellipse 9x^(2)+25y^(2)-18x-100y-160=0 is

The foci of the ellipse (x^(2))/(4) +(y^(2))/(25) = 1 are :

Tangents are drawn from a point P(6,sqrt(5)) to the ellipse (x^(2))/(25)+(y^(2))/(16)=1 touching the ellipse in the points Q and R. The angle between PQ and PR is