If the points `P(h,k),Q(X_1,Y_1)`and `R(X_2,Y_2)`lie on a line.Show that `(h-x_1)(y_2-y_1)=(k-y_1)(x_2-x_1)`

A line passes through points A(x_1,y_1) and B(h,k) .If the slope of the line is m then show that k-y_1=m(h-x_1)

The equation of the plane passing through A(x_1,y_1,z_1) and containg the line (x-x_2)/(d_1)=(y-y_2)/(d_2)=(z-z_2)/(d_3) is

If y= log( log 2x) , show that xy_2 + y_1 (1+ xy_1) = 0

The equation of line whose midpoint (x_(1),y_(1)) is in between the axes, is.............. A) (x)/(x_(1))+ (y)/(y_(1)) =2 B) (x)/(x_(1))+ (y)/(y_(2)) =1/2 C) (x)/(x_(1))+ (y)/(y_(2)) =1/2 D) None of these

If y=(sin^-1x)^2/2,then(1-x^2)y_2-xy_1 =

If the origin and the point P(2,3,4),Q(,1,2,3)R (x,y,z) are coplanar then: a) x-2y-z=0 b) x+2y+z=0 c) x-2y+z=0 d) 2x-2y+z=0

IF the line (x-1)/2=(y+1)/3=z/4 and origin lie on the plane 4x+4y-kz=0 , then k=

Without expanding the determinants, show that |(1,x,x^2),(1,y,y^2),(1,z,z^2)|=(y-x)(z-y)(z-x)