If the circles x² + y² + 5Kx + 2y + K = 0 and 2(x² + y²) + 2Kx + 3y –1 = 0, (K R), intersect at the points P and Q, then the line 4x + 5y – K = 0 passes through P and Q, for:

(D) infinitely many values of K

Coordinate Geometry: JEE Main 2019 Mathematics question

JEE Main 2019 · 10 Apr, Morning shift · Q3092

JEE Main 201910 Apr, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002

If the circles x² + y² + 5Kx + 2y + K = 0 and 2(x² + y²) + 2Kx + 3y –1 = 0, (K

\in

R), intersect at the points P and Q, then the line 4x + 5y – K = 0 passes through P and Q, for :

JEE Main 2019 · 10 Apr, Morning shift · Q3092

JEE Main 201910 Apr, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002

If the circles x² + y² + 5Kx + 2y + K = 0 and 2(x² + y²) + 2Kx + 3y –1 = 0, (K

\in

R), intersect at the points P and Q, then the line 4x + 5y – K = 0 passes through P and Q, for :