Home
Class 11
MATHS
If the lines 2x - 3y = 5 and 3x - 4y = 7...

If the lines 2x - 3y = 5 and 3x - 4y = 7 are the diameters of a circle of area 154 square units, then obtain the equation of the circle.

Text Solution

Verified by Experts

The correct Answer is:
`x^(2) + y^(2) - 2x + 2y = 47`, is required equation of he circle.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (TRUE/FALSE)|8 Videos
  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (FILLERS)|6 Videos
  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|22 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise (Questions of Module) (Knowledge Test :)|15 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST :)|12 Videos

Similar Questions

Explore conceptually related problems

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

The line x + 3y = 0 is a diameter of the circle x^(2) + y^(2) + 6x + 2y = 0 .

Draw the graphs of the equations x = 3, x = 5 and 2x - y - 4 = 0 . Also find the area of the quadrilateral formed by the lines and the x-axis.

A person standing at the junction (crossing) of two straight paths represented by the equations 2x-3y+4=0 and 3x + 4y-5=0 wants to reach the path whose equation is 6x-7y+8=0 in the least time. Find equation of the path that he should follow.

Line 12x + 5y + 60 = 0 intersects the axes in A and B respectively, then what is the equation of the circle whose diameter as bar(AB) ?

A person standing at the junction (crossing) of two straight paths represented by the equations 2x - 3y + 4 = 0 " and " 3x + 4y - 5 = 0 wants to reach the path whose equation is 6x - 7y + 8 = 0 in the least time. Find equation of the path that he should follow.

If 53x-54y+7=0and 106x-108y=-4 are the tangents of the circle , then radius of the circle is =.......

A line is such that its segment between the lines 5x - y + 4 = 0 " and " 3x + 4y - 4 = 0 is bisected at the point (1, 5) . Obtain its equation.

Find the equation of the line passing through the point of intersection of 2x+ y = 5 and x + 3y + 8=0 and parallel to the line 3x + 4y = 7 . Thinking Process : First find point of intersection of given lines and take slope m of intersection of given lines and take slope m of y-y_1 = m ( x - x_1) .

If one end a diameter of the circle x^(2) + y^(2) - 4x - 6y + 11 = 0 is (3,4), then find the cordinate of the other end of the diameter.