Find the value of `k` if the point (1, 2) lies on the curve `(k-10)x^2+y^2-(k-7)x-(3k-27)y+11=0`

Find the value of k for which the point (1,-2) lies on the graph of the linear equation x-2y+k=0

Find the value of k if the points (1, 3) and (2, k) are conjugated with respect to the circle x^(2)+y^(2)=35 .

Find the value of k, if x=2,y=1 is a solution of the equations 2x+3y=k

Find the value of x, if 2x + 3y + k = 12 and x + 6y + 2k = 18

When the origin is shifted to the point (5,-2) then the transformed equation of the curve xy+2x-5y+11=0 is XY=K then k is

Determine the value of k so that the following linear equations have no solution: (3k+1)x+3y-2=0,quad (k^(2)+1)x+(k-2)y-5=0

Find the values of k for which roots of the following equations are real and equal: (i) 12x^(2)+4kx+3=0 (ii) kx^(2)-5x+k=0 (iii) x^(2)+k(4x+k-1)+2=0 (iv) x^(2)-2(5+2k)x+3(7+10k)=0 (v) 5x^(2)-4x+2+k(4x^(2)-2x-1)=0 (vi) (k+1)x^(2)-2(k-1)x+1=0 (vii) x^(2)-(3k-1)x+2k^(2)+2k-11=0 (viii) 2(k-12)x^(2)+2(k-12)x+2=0

Find the value of k for which following system of equations have infortely many solution: 2x+(k-2)y=k,quad 6x+(2k-1)y=2k+5

Find the value of 'K' for which lines (K-1) x+y - 2 = 0 and (2-K) x - 3y + 1 = 0 are paraller ?