﻿ Find the points of intersection of the line 2x + 3y = 18 and the circle x2 +y2 = 25. : Kaysons Education

# Find The Points Of Intersection Of The Line 2x + 3y = 18 And The Circle x2 +y2 = 25.

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## Question

### Solution

Correct option is

(3, 4) and

We have                  2x + 3y = 18               …(1)

and                           x2 + y2 = 25                …(2)

⇒             9x2 + 4(9 – x)2 = 225

⇒       9x2 + 4(81 – 18x + x2) = 225

⇒      13x2 – 72x + 324 – 225 = 0

⇒      13x2 – 72x + 99 = 0

⇒      (x – 3) (13x – 33) = 0

⇒       x = 3  or

From (1),            y = 4    or

Hence the points of intersection of the given line and the given circle are (3, 4) and

#### SIMILAR QUESTIONS

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Q10

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