If tangent at (1, 2) to the circle c 1 : x 2 + y 2 = 5 intersects the circle c 2 : x 2 + y 2 = 9 at A and B and tangents at A and B to the second circle meet at point C, then the co-ordinates of C are :

If tangent at (1, 2) to the circle c 1 : x 2 + y 2 = 5 intersects the circle c 2 : x 2 +…

Mathematics · JEE Advanced · NTA Exams — Co-ordinate Geometry

If tangent at (1, 2) to the circle c₁ : x² + y² = 5 intersects the circle c₂ : x² + y² = 9 at A and B and tangents at
A and B to the second circle meet at point C, then the
co-ordinates of C are :

(4, 5)
\(\left(\frac{9}{5}, \frac{8}{5}\right)\)
(4, – 5)
\(\left(\frac{9}{5}, \frac{8}{5}\right)\)

Answer

(D) ( 9 5 , 8 5 )

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.

Related practice questions

Consider the straight line ax + by = c, where a, b, c ∈ R + this line meets the coordinate axes at A and B…
Let PQR be a right angled isosceles triangle, right angled at P (2, 1). If the equation of the line QR is 2x…
Let O be the origin and let PQR be an arbitrary triangle. The point S is such that Then the triangle PQR has…
If equation of tangent at P, Q and vertex A of a parabola are 3x + 4y – 7 = 0, 2x + 3y – 10 = 0 and x – y = 0…
Let S = ( x , y )∈ × : x ≥ 0, y ≥ 0, y 2 ≤ 4 x , y 2 ≤ 12 – 2 x and 3 y+ 8 x 5 8 . If the area of the region…
If pairs of straight lines, x 2 – 2pxy – y 2 = 0 and x 2 – 2q xy – y 2 = 0 be such that each pair bisects the…
If M is the foot of the perpendicular from a point P of a parabola y 2 = 4ax to its directrix and SPM is an…
The base BC of a ∆ABC is bisected at the point (p, q) and the equation to the side AB and AC are px + qy = 1…

More Co-ordinate Geometry questions · Browse all practice questions