The equations of the tangents to the cir...

The equations of the tangents to the circle` x^2+y^2 =13` the point whose abscissa is 2, are

A

`2x+3y=13,2x-3y=13`

B

`3x+2y=13,2x-3y=13`

C

`2x+3y=13,3x-2y=13`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:

A

Let the point be `(2,y_(1))` then
`2^(2)+y_(1)^(2)=13`
`rArr y_(1)=+-3`
Henc,e the required tanget are `2x+-3y=13`

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Knowledge Check

The equation of the tangents to the circle x^2+y^2=13 at the point whose abscissa is 2, are

A

2x+3y=13, 2x-3y=13

B

3x+2y=13, 2x-3y=13

C

2x+3y=13, 3x-2y=13

D

None of the above

The equation of tangent to the curve y=x^(3)-x^(2)-1 at the point whose absicissa is -2 is

A

16x-y+19=0

B

16x-y=19

C

16x+y+19=0

D

16x+y=19

The slope of the tangent to the curve 2x^(2) + 3y^(2) =5 at the point whose abscissa is -2, is

A

`-2/3`

B

`2/3`

C

`3/2`

D

`-3/2`

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