Home
Class 12
MATHS
If x^(2)/(f(4a))+y^(2)/(f(a^(2)-5))=1 re...

If `x^(2)/(f(4a))+y^(2)/(f(a^(2)-5))`=1 represents an ellipse with major axis as Y-axis and f is a decreasing function,then

A

(1,4)

B

(-1,1)

C

(-1,5)

D

`(5,oo))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Given f is increasing, the equation x^(2)/(f(2a))+y^(2)/(f(a^(2)-3))=1 represents an ellipse with X-axis as major axis if

Consider the ellipse (x^2)/(f(k^2+2k+5))+(y^2)/(f(k+11))=1. If f(x) is a positive decr4easing function, then the set of values of k for which the major axis is the x-axis is (-3,2)dot the set of values of k for which the major axis is the y-axis is (-oo,2)dot the set of values of k for which the major axis is the y-axis is (-oo,-3)uu(2,oo) the set of values of k for which the major axis is the y-axis is (-3,-oo,)

A circle whose diameter is major aixs of ellipe (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 (agtbgt0) meets minor axis at point P. Ifthe orthocentre of DeltaPF_(1)F_(2) lies on ellipse where F_(1)and F_(2) are foci of ellipse , then find the eccenricity of the ellipse

An ellipse is drawn by taking a diameter of the circle (x-1)^2+y^2=1 as its semi-minor axis and a diameter of the circle x^2+(y-2)^2=4 as its semi-major axis. If the centre of the ellipse is the origin and its axes are the coordinate axes, then the equation of the ellipse is (1) 4x^2+""y^2=""4 (2) x^2+""4y^2=""8 (3) 4x^2+""y^2=""8 (4) x^2+""4y^2=""16

Let f(x) = ([x]+1)/({x}+1) for f: [0, (5)/(2) ) to ((1)/(2) , 3] , where [*] represents the greatest integer function and {*} represents the fractional part of x. Draw the graph of y= f(x) . Prove that y=f(x) is bijective. Also find the range of the function.

y-axis is a tangent to one ellipse with foci (2,0) and (6,4) if the length of the major axis is then [x]=_____

Let F be the family of ellipse whose centre is the origin and major axis is the y-axis. Then the differential equation of family F is

Statement 1 : The area of the ellipse 2x^2+3y^2=6 is more than the area of the circle x^2+y^2-2x+4y+4=0 . Statement 2 : The length f the semi-major axis of an ellipse is more that the radius of the circle.

In curve which satisfies the differential equation (x^2-y^2)dx+2xy\ dy=0 passes through (1,1) then curve is (a) a circle with centre on x-axis (b) a circle with centre on y-axis (c) a hyperbola with transverse axis as x-axis (d) an ellipse with major axis as y-axis

The length of the major axis of the ellipse 3x^2+2y^2-6x8y-1=0 is