Home
Class 12
MATHS
A paragraph has been given. Based upon t...

A paragraph has been given. Based upon this paragraph, 3 multiple choice question have to be answered. Each question has 4 choices a,b,c and d out of which ONLYONE is correct. Consider the `L_1:(x+1)/3=(y+2)/1=(z+1)/2 and L_2:(x-2)/1=(y+2)/2=(z-3)/3` The distance of the point (1,1,) from the plane passing through the point (-1,-2,-1) and whose normal is perpendicular to both the lines `L_1 and L_2` is (A) `\2/sqrt(75)` (B) `7/sqrt(75)` (C) `13/sqrt(75)` (D) `23/sqrt(75)`

Promotional Banner

Similar Questions

Explore conceptually related problems

cosider the lines, L1=(x+1)/3=(y+2)/1=(z+2)/2 L2=(x-2)/1=(y+2)/2=(z-3)/3 The distance of the point (1, 1, 1) from the plane passing through the point (-1, -2, -1) and whose normal is perpendicular to both the lines L_1 and L_2 is

A paragraph has been given. Based upon this paragraph, 3 multiple choice question have to be answered. Each question has 4 choices a,b,c and d out of which ONLYONE is correct. Consider the L_1:(x+1)/3=(y+2)/1=(z+1)/2 and L_2:(x-2)/1=(y+2)/2=(z-3)/3 The shortest distance betwen L_1 and L_2 is (A) 0 (B) 17/sqrt(3) (C) 41/(5(3) (D) 17/sqrt(75)

Read the following passage and answer the questions. Consider the lines L_(1):(x+1)/(3)=(y+2)/(1)=(z+1)/(2),L_(2):(x-2)/(1)=(y+2)/(2)=(z-3)/(3) The distance of the point (1,1,1) from the plane passing throught the point (-1,-2,-1) and whose normal is perpendicular to both the lines L_(1) and L_(2) , is

Read the following passage and answer the questions. Consider the lines L_(1) : (x+1)/(3)=(y+2)/(1)=(z+1)/(2) L_(2) : (x-2)/(1)=(y+2)/(2)=(z-3)/(3) Q. The distance of the point (1, 1, 1) from the plane passing through the point (-1, -2, -1) and whose normal is perpendicular to both the lines L_(1) and L_(2) , is

The distance of the point (1,-2,4) from the plane passing through the point (1,2,2) perpendicular to the planes x-y+2z=3 and 2x-2y+z+12=0 is

A paragraph has been given. Based upon this paragraph, 3 multiple choice question have to be answered. Each question has 4 choices a,b,c and d out of which ONLYONE is correct. Consider the L_1:(x+1)/3=(y+2)/1=(z+1)/2 and L_2:(x-2)/1=(y+2)/2=(z-3)/3 The unit vector perpendicular to both L_1 and L_2 is (A) (-hati+7hatk+7hatk)/sqrt(99) (B) (-hati-7hatk+5hatk)/(5sqrt(3)) (C) (-hati+7hatk+7hatk)/(5sqrt(3)) (D) (7hati-7hatk-7k)/sqrt(99)

The distance of the point (1, 3, -7) from the plane passing through the point (1, -1, -1) having normal perpendicular to both the lines (x-1)/(1)=(y+2)/(-2)=(z-4)/(3) and (x-2)/(2)=(y+1)/(-1)=(z+7)/(-1) is

Consider the line L1=(x+1)/3=(y+2)/1=(z+1)/2 L2=(x-2)/1=(y+2)/2=(z-3)/3 The shortest distance between L_1 and L_2 is

Equation of the plane passing through the point (1,1,1) and perpendicular to each of the planes x+2y+3z=7 and 2x-3y+4z=0 l is