Let P(a, b) be a point on the parabola y²=8 x such that the tangent at P passes through the centre of the circle x²+y²-10 x-14 y+65=0. Let A be the product of all possible values of a and B be the product of all possible values of b. Then the value of A+B is equal to:

Coordinate Geometry: JEE Main 2022 Mathematics question

JEE Main 2022 · 27 Jul, Morning shift · Q4751

JEE Main 202227 Jul, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002

Let

P(a, b)

be a point on the parabola

y^{2}=8 x

such that the tangent at

P

passes through the centre of the circle

x^{2}+y^{2}-10 x-14 y+65=0

. Let

A

be the product of all possible values of

a

and

B

be the product of all possible values of

b

. Then the value of

A+B

is equal to :

JEE Main 2022 · 27 Jul, Morning shift · Q4751

JEE Main 202227 Jul, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002

Let

P(a, b)

be a point on the parabola

y^{2}=8 x

such that the tangent at

P

passes through the centre of the circle

x^{2}+y^{2}-10 x-14 y+65=0

. Let

A

be the product of all possible values of

a

and

B

be the product of all possible values of

b

. Then the value of

A+B

is equal to :