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 condition that the point (h, k) may lie on the curve x^(2)+y^(2)+5x+11y-2=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 the line 3x-4y=k is a tangent to x^(2)-4y^(2)=5

Find the value of k if the line 2y=5x+k is a tangent to the parabola y^(2)=6x

Find the value of k if the following equations have equal roots i) x^(2)–2(1+3k)x+7(3+2k)= 0 ii) x^(2) -15 - k(2x – 8) = 0 iii) (3k+1)x^(2)+2(k+1)x+k=0 iv) x^(2)+2(k+2)x+9k=0

Find the value of k, if 2x +1 is a factor of (3k+2)x^3 + (k-1).

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

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

Find the value(s) of k so that the line 2x+y+k=0 may touch the hyperbola 3x^(2)-y^(2)=3