Home
Class 12
MATHS
If the two lines x+(a-1)y=1 and 2x+a^(2)...

If the two lines `x+(a-1)y=1` and `2x+a^(2)y=1`, `(a in R-{0})` are perpendicular , then the distance of their point of intersection from the origin is

Text Solution

Verified by Experts

The correct Answer is:
10
Promotional Banner

Topper's Solved these Questions

  • CHAPTERWISE NUMERIC INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER 11|15 Videos
  • CHAPTERWISE NUMERIC INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER 12|15 Videos
  • CHAPTERWISE NUMERIC INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER 9|15 Videos
  • BINOMIAL THEOREM

    DISHA PUBLICATION|Exercise EXERCISE-2 (CONCEPT APPLICATOR)|30 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

If the lines x+(a-1)y=1 and 2x+1a^(2)y=1 there a in R-{0,1} are perpendicular to each other,Then distance of their point of intersection from the origin is

If the lines x+(a-1)y+1=0 and 2x+a^(2)y-1=0 are perpendicular,then find the value of a.

The square of the distance of the point of interrection of the lines 6x^(25)xy-6y^(2)+x+5y-1=0 from the origin is

Find the perpendicular distance of the point (1,0,0) from the lines (x-1)/2=(y+1)/(-3)=(z+10)/8

The perpendicular distance of the point (1,2,3) from the line (x-1)/(2)=(y-3)/(1)=(z-4)/(1)

The distance of the line 2x-3y=4 from the point (1,1) in the direction of the line x+y=1 is

Find the perpendicular distance of the point (1, 1, 1) from the line (x-2)/(2)=(y+3)/(2)=(z)/(-1) .

The product of the perpendicular distances from the point (-2,3) to the lines x^(2)-y^(2)+2x+1=0 is

Find the equation of the line perpendicular to the line 2x+y-1=0 through the intersection of the lines x+2y-1=0 and y=x .

Consider a plane x+2y+3z=15 and a line (x-1)/(2)=(y+1)/(3)=(z-2)/(4) then find the distance of origin from point of intersection of line and plane.