Question

7y - X-5 = 0 touches the circle x2 + y2 - 5x + 5y = 0. The equation of other parallel tangent is
(1) x- 7y + 10 = 0
(2) x- 7y - 20 = 0
(3) x - 7y - 45 = 0
(4) X-7y - 36 = 0​

Answer 1

Answer:

Check by finding distance between the parallel lines and it should be equal to diameter.

(Hit and Try)

OR

Just apply the formula

$|c2 - c1|/ \sqrt{a {}^{2} + b {}^{2} } = d$

Where d is the diameter, a and b are the coefficients of x and y, and c1 is the constant term of the other tangent you want.

So the eqn of other tangent will be x-7y+c1=0

Put the value of C1