Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202315 May 2023Evening ShiftMathematicsCircleActual

If P ( 3 ) and Q ( 2 3 ) represent two points on the circle x^2+y^2-4 x+6 y-12=0 in parametric form, then the length of the chord PQ is

Options

  1. A4 3
  2. B5
  3. C5 2
  4. D13

Correct answer

B. 5

Step-by-step solution

Given equation of circle aligned & x^2+y^2-4 x+6 y-12=0 & (x-2)^2+(y+3)^2=5^2 aligned so parametric coordinate 2+5 ,-3+5 ) Now, for point P, P (2+5 ( 3 ),-3+5 ( 3 ) )P ( 9 2 ,-3+ 5 3 2 ) and for point Q, Q (2+5 ( 2 3 ),-3+5 ( 2 3 ) )Q ( -1 2 ,-3+ 5 3 2 ) Now, P Q= ( 10 2 )^2+0^2 5

Practice Circle on Quantrex Academy →

More from Circle

A circle touches both the coordinate axes and the straight line L 4 x +3 y -6=0 in the first quadrant. If this circle lies below the line L =0 , then the equation of that circle is 2025If the smallest circle through the points of intersection of x^2+y^2=a^2 and x +y =p, 0 < p < a is x^2+y^2-a^2+ (x +y -p)=0 then = 2025If the lines 3 x-4 y+4=0 and 6 x-8 y-7=0 are the tangents to the same circle, then the area of that circle (in sq.units) is 2025Circles are drawn through the point (2,0) to cut intercepts of length 5 units on the X -axis. If their centre lie in the first quadrant, then their equation is 2025The circles x^2+y^2-2 x-4 y-4=0 and x^2+y^2+2 x+4 y-11=0 2025If the line 4 x-3 y+7=0 touches the circle x^2+y^2-6 x+4 y-12=0 at ( , ) , then +2 = 2025The slope of the common tangent drawn to the circles x^2+y^2-4 x+12 y-216=0 and x^2+y^2+6 x-12 y+36=0 is 2025If r₁ and r₂ are radii of two circles touching all the four circles (x r)^2+(y r)^2=r^2 , then r₁+r₂ r = 2025 Full Circle list All AP EAMCET PYQs