Home
Class 12
MATHS
If the lines 3x-4y+4=0 and 6x-8y-7=0 are...

If the lines `3x-4y+4=0` and `6x-8y-7=0` are tangents to a circle, then find the radius of the circle.

Text Solution

Verified by Experts

The correct Answer is:
`(3)/(4)`
Since, 3x - 4y + 4 =0 and `3x -4y-(7)/(2)=0` are two parallel tangents, Thus, diameter between them is diameter circle.
`rArr Diameter = (|4+(4)/(2)|)/(sqrt(3^(2)+4^(2)))=(15)/(2.5)=(3)/(2)`
and radius` = (3)/(4)`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    IIT JEE PREVIOUS YEAR|Exercise Topic 1True/False|1 Videos

  • CIRCLE

    IIT JEE PREVIOUS YEAR|Exercise Topic 1Analytical & Descriptive Questions|5 Videos

  • CIRCLE

    IIT JEE PREVIOUS YEAR|Exercise Topic 1(Objective Question II)|2 Videos

  • BINOMIAL THEOREM

    IIT JEE PREVIOUS YEAR|Exercise Topic 2 Properties of Binomial Coefficent Objective Questions I (Only one correct option) (Analytical & Descriptive Questions )|8 Videos

  • COMPLEX NUMBERS

    IIT JEE PREVIOUS YEAR|Exercise TOPIC 5 DE-MOIVRES THEOREM,CUBE ROOTS AND nth ROOTS OF UNITY (INTEGER ANSWER TYPE QUESTION)|1 Videos

Similar Questions

Explore conceptually related problems

If 2x-4y=9 and 6x-12y+7=0 are parallel tangents to circle, then radius of the circle, is

If lines 3x - 4y + 4 = 0 " and " 6x - 8y - 7 = 0 touch the same circle , then its radius is

Centre of a circle of radius 4sqrt(5) lies on the line y=x and satisfies the inequality 3x+6y > 10. If the line x+2y=3 is a tangent to the circle, then the equation of the circle is

The line 2x-y+1=0 is tangent to the circle at the point (2,5) and the centre of the circles lies on x-2y=4 The radius of the circle is: