﻿   If the parametric of form of a circle is given by (i) x = – 4 + 5 cos θ and y = – 3 + 5 sin θ   (ii) x = a cos α + b sin α and y = a sin α – b cos α Find its Cartesian form. : Kaysons Education

If The Parametric Of Form Of A Circle Is Given By (i) x = – 4 + 5 Cos θ and y = – 3 + 5 Sin θ   (ii) x = a cos α + B Sin α and y = A Sin α – B Cos α Find Its Cartesian Form.

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Question

Solution

Correct option is

(i) The given equations are

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

or             (x + 4) = 5 cos θ         …(1)

an d          (y + 3) = 5 sin θ         …(2)

Squaring and adding (1) and (2), then

(x + 4)2 + (y + 3)2 = 52

or         (x + 4)2 + (y + 3)2 = 25

(ii) The given equations are

x = a cos α + b sin α             …(1)

y = a sin α + b cos α             …(2)

Squaring and adding (1) and (2), then

SIMILAR QUESTIONS

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Q2

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Q3

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Find the equation of the circle whose centre is the point of intersection of the lines 2x – 3y + 4 = 0 and 3x + 4y – 5 = 0 and passes through the origin.

Q6

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Q7

A circle has radius 3 units and its centre lies on the line y = x – 1. Find the equation of the circle if it passes through (7, 3).

Q8

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x2 + y2 + 2gx + 2fy + c = 0

Q9

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x2 + y2 + px + py = 0

Q10

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