The equation of the plane containing the line `(x-x_1)/l=(y-y_1)/m=(z-z_1)/n` is`a(x-x_1)+b(y-y_1)+c(z-z_1)=0,""` where `a x_1+b y_1+c z_1=0` b. `a l+b m+c n=0` c. `a/l=b/m=c/n` d. `l x_1+m y_1+n z_1=0`

The equation of the plane containing the line (x-x_1)/l=(y-y_1)/m=(z-z_1)/n is a(x-x_1)+b(y-y_1)+c(z-z_1)=0,"" where (A) a x_1+b y_1+c z_1=0 (B) a l+b m+c n=0 (C) a/l=b/m=c/n (D) l x_1+m y_1+n z_1=0

Equation of any plane containing the line (x-x_1)/(a)=(y-y_1)/(b)=(z-z_1)/(c) is A(x-x_1)+B(y-y_1)+C(z-z_1)=0 then pick correct alternatives

Find the equation of the plane through the line (x-x_1)/l_1=(y-y_1)/m_1=(z-z_1)/n_1 and parallel to the line (x-alpha)/l_2=(y-beta)/m_2=(z-gamma)/n_2

Find the equation of the plane containing the line (y)/(b)+(z)/(c)=1,x=0 , and parallel to the line (x)/(a)-(z)/(c)1,y=0 .

Distance of the point P(x_2, y_2, z_2) from the line (x-x_1)/l=(y-y_1)/m=(z-z_1)/n , where l,m,n are the direction cosines of the line, is

The equation of the plane containing the line 2x+z-4=0 nd 2y+z=0 and passing through the point (2,1,-1) is (A) x+y-z=4 (B) x-y-z=2 (C) x+y+z+2=0 (D) x+y+z=2

Show that the plane a x+b y+c z+d=0 divides the line joining the points (x_1, y_1, z_1)a n d(x_2, y_2, z_2) in the ratio (a x_1+b y_1+c z_1+d)/(a x_2+b y_2+c z_2+d) .

The lines (x-x_1)/(a) = (y-y_1)/(b) = (z-z_1)/( c ) and (x-x_1)/(a') = (y-y_1)/(b') = (z-z_1)/( c') are (i) parallel (ii) intersecting (iii) skew (iv) coincident

The equation of the plane which is equally inclined to the lines (x-1)/2=y/(-2)=(z+2)/(-1)a n d=(x+3)/8=(y-4)/1=z/(-4) and passing through the origin is/are a. 14 x-5y-7z=0 b. 2x+7y-z=0 c. 3x-4y-z=0 d. x+2y-5z=0

The equation of the plane which is equally inclined to the lines (x-1)/2=y/(-2)=(z+2)/(-1)a n d=(x+3)/8=(y-4)/1=z/(-4) and passing through the origin is/are a. 14 x-5y-7z=0 b. 2x+7y-z=0 c. 3x-4y-z=0 d. x+2y-5z=0