﻿ Find the equation of the circum circle of the quadrilateral formed by the four lines ax + by ± c = 0 and bx – ay ± c = 0. : Kaysons Education

# Find The Equation Of The Circum Circle Of The Quadrilateral Formed By The Four Lines ax + by ± c = 0 And bx – ay ± c = 0.

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## Question

### Solution

Correct option is

The given lines can be re-written as

ax + by + c = 0                 …(1)

ax + by + c = 0                  …(2)

bx ay + c = 0                  …(3)

bx – ay – c = 0                  …(4)

Equation (1) and (2) are parallel and equation (3) and (4) are also parallel.

Since           m1m2 = –1

Hence ABCD be a square and AC and BD are the diameters of the circle. After solving, we get

∴ Equation of circle is

#### SIMILAR QUESTIONS

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Q7

If the parametric of form of a circle is given by

(i) x = – 4 + 5 cos θ and y = – 3 + 5 sin θ

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Find its Cartesian form.

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Q10

The abscissa of two points A and B are the roots of the equation x2 + 2ax – b2 = 0 and their ordinates are the roots of the equation x2 + 2px –q2 = 0. Find the equation and the radius of the circle with AB as diameter.