Home
Class 12
MATHS
C(1):x^(2)+y^(2)=r^(2)and C(2):(x^(2))/(...

`C_(1):x^(2)+y^(2)=r^(2)and C_(2):(x^(2))/(16)+(y^(2))/(9)=1` interset at four distinct points A,B,C, and D. Their common tangents form a peaallelogram A'B'C'D'.
if A'B'C'D' is a square, then r is equal to

A

36

B

72

C

144

D

288

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|10 Videos

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|8 Videos

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 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

C_(1):x^(2)+y^(2)=r^(2)and C_(2):(x^(2))/(16)+(y^(2))/(9)=1 interset at four distinct points A,B,C, and D. Their common tangents form a parellelogram A'B'C'D'. if A'B'C'D' is a square, then r is equal to

If common tangents of x^(2) + y^(2) = r^(2) and (x^2)/16 + (y^2)/(9) = 1 forms a square, then the length of diagonal of the square is

If (x)/(a)+(y)/(b)=1 and (x)/(c)+(y)/(d)=1 intersects the circle at four concyclic points and a^(2)+c^(2)=b^(2)+d^(2). these lines intersects at

If (a,(1)/(a)),(b(.1)/(b)),(c,(1)/(c)),(d,(1)/(d)) are four distinct points on a circle of radius 4 units then,abcd is equal to:

If the two circles (x+1)^(2)+(y-3)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 intersect in two distinct point,then (A)r>2(B)2

If A(6,1) ,B(8,2) ,C(9,4) and D (7,3) are the vertices of square ABCD , show that square ABCD is a parallelogram.

If (a,(1)/(a)),(b,(1)/(b)),(c,(1)/(c))o*(d,(1)/(d)) are four distinct points on a circle of radius 4 units,then abcd is equal to (A) 4(B)16 (C) 1 (D) 2