Home
Class 11
MATHS
Let L be the line belonging to the famil...

Let L be the line belonging to the family of straight lines `(a+2b)x+(a-3b)y+a-8b=0 a,b in R`, which is the farthest from the point (2,2)
If L is concurrent with lines x-2y+1=0 and `3x-4y+lambda =0`, then the value of `lambda` is

A

2

B

1

C

-4

D

5

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-III Problems on Point of intersection of line and concurrency of lines)(Matrix Matching Type Questions Type Question)|2 Videos
  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-III Problems on Point of intersection of line and concurrency of lines)(Integer Type Questions Type Question)|2 Videos
  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-III Problems on Point of intersection of line and concurrency of lines)(More than one correct Type Questions Type Question)|2 Videos
  • REVISION EXERCISE

    AAKASH SERIES|Exercise PROPERTIES OF TRIANGLES|57 Videos
  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

Similar Questions

Explore conceptually related problems

Let L be the line belonging to the family of straight lines (a+2b)x+(a-3b)y+a-8b=0 a,b in R , which is the farthest from the point (2,2) The equation of line L is

Let L be the line belonging to the family of straight lines (a+2b)x+(a-3b)y+a-8b=0 a,b in R , which is the farthest from the point (2,2) Area enclosed by the line L and the coordinate axes is

The point of concurrence of the lines (2a+5b)x+(3a-2b)y-5a-3b=0 is

The equation of the line with gradient -3//2 which is concurrent with the lines 4x+3y-7=0 and 8x+5y-1=0, is

The point of concurrence of the lines (a+2b)x+(a-b)y+(a+5b)=0 is

If the pair of straight lines xy - x - y + 1 = 0 and the line ax+2y-3 = 0 are concurrent then a=

The equation of the straight line which is perpendicular to the line 5x-2y =7 and passing through the point of intersection of the lines 2x + 3y-1 =0 and 3x + 4y -6 = 0 is

If the length of the tangent from (1,2) to the circle x^(2)+y^2+x+y-4=0 and 3x^(2)+3y^(2)-x-y-lambda=0 are in the ratio 4:3 then lambda=

If the slope of one of the lines 2x^(2) + 3xy + lambda y^(2) = 0 is 2 then the angle between the lines is