The equation of the plane containing th...

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`

Text Solution

AI Generated Solution

Topper's Solved these Questions

INVERSE TRIGONOMETRIC FUNCTIONS
RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
MATRICES
RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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 thorugh the point (-1,2,0) and parallel to the lines x/3=(y+1)/0=(z-2)/(-1) and (x-1)/1=(2y+1)/2=(z+1)/(-1) is (A) 2x+3y+6z-4=0 (B) x-2y+3z+5=0 (C) x+y-3z+1=0 (D) x+y+3z-1=0

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) .

A plane through the line (x-1)/1=(y+1)/(-2)=z/1 has the equation (A) x+y+z=0 (B) 3x+2y-z=1 (C) 4x+y-2z=3 (D) 3x+2y+z=0

A plane which passes through the point (3,2,0) nd the line (x-4)/1=(y-7)/5=(z-4)/4 is (A) x-y+z=1 (B) x+y+z=5 (C) x+2y-z=1 (D) 2x-y+z=5

RESONANCE DPP ENGLISH-JEE MAINS-All Questions

The probability that a leap year will have 53 Fridays or 3 Saturday...
Text Solution
|
Let f(x): R^+ to R^+ is an invertible function such that f^(prime)(...
Text Solution
|
The equation of the plane containing the line (x-x1)/l=(y-y1)/m=(z-z1...
Text Solution
|
If 10 objects are distributed at random among 10 persons, then find...
Text Solution
|
Let vec a=2i+j-2ka n d vec b=i+jdot If vec c is a vector such that ...
Text Solution
|
In a triangle A B C ,a : b : c=4:5: 6. Then 3A+B equals to: 4C b. 2pi ...
Text Solution
|
The area of the closed figure bounded by y=x , y=-x , y=-x and the tan...
Text Solution
|
Sania Mirza is to play with Sharapova in a three set match. For a part...
Text Solution
|
Let C1and C2 be two circles with C2 lying inside C1 A circle C lying i...
Text Solution
|
Sania Mirza is to play with Sharapova in a three set match. For a part...
Text Solution
|
Find the equation of the plane passing through the point (1,1,-1)a n d...
Text Solution
|
The solution of the equation y^2x dx+y dx-x dy=0 is
Text Solution
|
Sania Mirza is to play with Sharapova in a three set match. For a part...
Text Solution
|
The solution of the differential equation (x+y)^2 (dy)/(dx)=1 , satisf...
Text Solution
|
The area {(x ,y); x^2lt=ylt=sqrt(x)} is equal to 1/3 b. 2/3 c. 1/6 d. ...
Text Solution
|
Differentiate the following functions with respect to x x^(3/4)+a cos...
Text Solution
|
The integer n for which ("lim")(xvec0)((cosx-1)(cosx-ehatx)/(x^n) is f...
Text Solution
|
A shopkeeper places before you 41 different toys out of which 20 toys ...
Text Solution
|
If the solution of the differential equation (dy)/(dx)=1/(xcosy+sin2y)...
Text Solution
|
Let alpha+ibeta;alpha,beta in R , be a root of the equation x^3+q x+r...
Text Solution
|