## Question

### Solution

Correct option is

bx – ag + bg – af = 0

Any lie parallel to ax + by + λ = 0

bx – ay + λ = 0

It passes through (–g, –f

So λ = bg – af equation of diameter

bx – ag + bg – af = 0

#### SIMILAR QUESTIONS

Q1

Find the equation of normal at the point (5, 6) to the circle;

x2 + y2 – 5x + 2y – 48 = 0

Q2

Find the equation of tangent to the circle x2 + y2 = 16 drawn from the point (1, 4).

Q3

The angle between a pair of tangents from a point P to the circle

x2 + y2 + 4x – 6y + 9 sin2α + 13 cos2α = 0 is 2α.

Find the equation of the lows of the point P.

Q4

Find the length of tangents drawn from the point (3, – 4) to the circle

2x2 + 2y2 – 7x – 9y – 30 = 0

Q5

Find the condition that chord of contact of any external point (hk) to the circle x2 + y2 = a2 should subtend right angle at the centre of the circle.

Q6

The chord of contact of tangents drawn from a point on the circle x2 +y2 = a2 to the circle x2 + y2 = b2 thouchese x2 + y2 = e2 find ab in.

Q7

Find the middle point of the chord intercepted on line lx + my + n = 0 by the circle x2 + y2 = a2.

Q8

Find the equation of the tangents from the point A(3, 2) to the circle x2 +y2 + 4x + 6y + 8 = 0.

Q9

If two tangents are drawn from a point on the circle x2 + y2 = 25 to the circle x2 + y2 = 25. Then find the angle between the tangents.

Q10

Examine if the two circle x2 + y2 – 2x – 4y = 0 and x2 + y2 – 8y – 4 = 0 touch each other externally or internally. Also the pointed contact.