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

# Find The Equation Of The Tangent To The Circle x2 + y2 = 16 Drawn From The Point (1, 4).

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## Question

### Solution

Correct option is

Given circle is

x2 + y2 = 16                 …(i)

Any tangent of (i) in terms of slope is

Which passes through (1, 4)

Then

From (ii), equation of tangent drawn from (1, 4) are

#### SIMILAR QUESTIONS

Q1

Find the equation of the circle passing through the points of intersection of the circles x2 + y2 – 2x – 4y – 4 = 0 and x2 + y2 – 10x – 12y – 40 = 0.

Q2

Find the equation of circle through points of intersection of circle x2 + y2– 2x – 4y + 4 = 0 and the line x + 2y = 4 which touches the line x + 2y = 0.

Q3

Find the angle between the circles. S = x2 + y2 – 4x + 6y + 11 = 0 and

Q4

Find the equation of the system of circles coaxial with the circles.

x2 + y2 + 4x + 2y + 1 = 0, x2 + y2 – 2x + 6y – 6 = 0

Also find the equation of that particular circle whose centre lies on radical axis.

Q5

Find the locus of pole of the line lx + my + n = 0 with respect to the circle which touches y-axis at the origin.

Q6

Find the circle whose diameter is the common chord of the circles

x2 + y2 + 2x + 3y + 1 = 0 and x2 + y2 + 4x + 3y + 2 = 0

S ≡ x2 + y2 + 2x + 3y + 1 = 0 S’ ≡ x2 + y2 + 4x + 3y + 2 = 0

Q7

Find the equation of circle which cuts the circle x2 + y2 + 5x + 7y + 4 = 0 orthogonally, has its centre on the line x = 2, and passes through the point (4, –1).

Q8

Find the point of intersection of the line 2x + 3y = 18 and the circle x2 +y2 = 25.

Q9

Find the equation of the normal to the circle x2 + y2 – 5x + 2y – 48 = 0 at point (5, 6).

Q10

Find the equation of the image of the circle x2 + y2 + 16x – 24y + 183 = 0 by the line mirror 4x + 7y + 13 = 0.