Home
Class 12
MATHS
The circle passing through (1, -2) an...

The circle passing through (1, -2) and touching the axis of x at (3, 0) also passes through the point (1)       (2, -5)                       (2)            (5, -2) (3)       (-2, 5)                       (4)            (-5, 2)

Text Solution

AI Generated Solution

To solve the problem, we need to find the equation of the circle that passes through the point (1, -2) and touches the x-axis at the point (3, 0). We will then check which of the given points lies on this circle. ### Step-by-step Solution: 1. **Identify the center of the circle:** Since the circle touches the x-axis at (3, 0), the center of the circle must be directly above this point on the y-axis. Let’s denote the center of the circle as (3, k), where k is the y-coordinate of the center. 2. **Determine the radius of the circle:** ...
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|13 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|21 Videos

Similar Questions

Explore conceptually related problems

The circle passing through the point (-1,0) and touching the y -axis at (0,2) also passes through the point:

Centre of a circle passing through point (0,1) and touching the curve y=x^2 at (2,4) is

The circle passing through the point (-1,0) and touching the y-axis at (0,2) also passes through the point (A) (-3/2,0) (B) (-5/2,2) (C) (-3/2,5/2) (D)(-4,0) ‘.. 2 2)

The equation of the circle passing through (4, 5) having the centre (2, 2), is

IF a circle touches the axis of x at (5,0) and passes through the point (4,-1), it also passes through the point

The length of the radius of the circle which touches the x - axis at the point (1, 0) and passes through the point (2, 3) is

Find the equation of a line passing through the points (3,5) and (-2, 1).