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Consider the family of circles : x^(2)+y...

Consider the family of circles : `x^(2)+y^(2)-3x-4y-c_(i)=0, c_(i)inN`
`(i=1,2,3,…,n)`
Also, let all circles intersects X-axis at integral points only and `c_(1)ltc_(2)ltc_(3)ltc_(4)…ltc_(n)`. A point (x, y) is said to be integral point, if both coordinates x and y are integers.

The ellipse `4x^2 +9y^2 = 36` and hyperbola `a^2x^2-y^2 =4` intersect orthogonally, then the equation of circle through the points of intersection of two conics is

A

A) `x^2 + y^2 = (c_5)^2`

B

B) `x^2 + y^2=c_4/7`

C

C) `x^2 + y^2 =c_3-2c_1`

D

D) `x^2+ y^2 =c_7/14`

Text Solution

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The correct Answer is:
B
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