Find the value of k , if lines AB and CD are perpendicular , where A = (4,5) , B = (k+ 2 , 3), C = (-3,2) and D (2,4).

Find the value of K for which line 7x+ 5y = 4 is perpendicular on line (2x+3y+4) +K (6x-y+2)=0

Find the value of k if the points A(2,3), B(4,k) and C(6,-3) are collinear.

Find the value of k if the points A(2, 3), B(4, k) and C(6, -3) are collinear.

Find the values of k for which the length of perpendicular from the point (4,1) on the line 3x-4y+ k=0 is 2 units

Find the value of k if the three points A(2,3),B(4,k) and C(6,-3) are collinear.

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 3x-4y=k is a tangent to x^(2)-4y^(2)=5

Find the volume of the parallelopiped with segments AB, AC and AD as concurrent edges, where : (1) A-=(3,7,4),B-=(5,-2,3),C-=(-4,5,6)andD-=(1,2,3) (2) the position vectors of A,B,C,D are hat(i)+hat(j)+hat(k),2hat(i)-hat(j),3hat(i)-2hat(j)-2hat(k)and3hat(i)+3hat(j)+4hat(k) .

Find the value of k if the points A(2,\ 3),\ B(4,\ k)\ a n d\ C(6,\ 3) are collinear.