If the circles x2+y2+5kx+2y+k=0 and 2x2+y2+2kx+3y−1=0k∈R intersect at the points P and Q, then the line 4x+5y−k=0 passes through the points P and Q for

Equation of common chord is 4kx+y2+k+12=0Given equation is 4x+5y−k=0on comparing both equation no real value of k satisfy

If the circles x2+y2+5kx+2y+k=0 and 2x2+y2+2kx+3y−1=0k∈R intersect at the points P and Q, then the line 4x+5y−k=0 passes through the points P and Q for

Equation of common chord is 4kx+y2+k+12=0Given equation is 4x+5y−k=0on comparing both equation no real value of k satisfy

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If the circles $x^{2} + y^{2} + 5 k x + 2 y + k = 0$ and $2 (x^{2} + y^{2}) + 2 k x + 3 y - 1 = 0 (k \in R)$ intersect at the points P and Q, then the line $4 x + 5 y - k = 0$ passes through the points P and Q for

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no value of K.

exactly one value of k

exactly two values of k

infinitely many values of k

answer is A.

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Equation of common chord is $4 k x + \frac{y}{2} + k + \frac{1}{2} = 0$

Given equation is $4 x + 5 y - k = 0$

on comparing both equation no real value of k satisfy

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If the circles x2+y2+5kx+2y+k=0 and 2x2+y2+2kx+3y−1=0k∈R intersect at the points P and Q, then the line 4x+5y−k=0 passes through the points P and Q for

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If the circles $x^{2} + y^{2} + 5 k x + 2 y + k = 0$ and $2 (x^{2} + y^{2}) + 2 k x + 3 y - 1 = 0 (k \in R)$ intersect at the points P and Q, then the line $4 x + 5 y - k = 0$ passes through the points P and Q for