Home
Class 12
MATHS
Given the family of lines, a(2x + y +4) ...

Given the family of lines, `a(2x + y +4) + b(x - 2y - 3) =0 `. Among the lines of the family, the number of lines situated at a distance of ` sqrt(10)` from the point ` M(2, -3) ` is :

A

0

B

1

C

2

D

`oo`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    VK JAISWAL ENGLISH|Exercise Exercise-2 : One or More than One Answer is/are Correct|12 Videos

  • STRAIGHT LINES

    VK JAISWAL ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|4 Videos

  • SOLUTION OF TRIANGLES

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|9 Videos

  • TRIGONOMETRIC EQUATIONS

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|9 Videos

Similar Questions

Explore conceptually related problems

Given the family of lines a (3x +4y+6)+b(x + y + 2) = 0 The line of the family situated at the greatest distance from the point P(2,3) has equation

Given a family of lines a(2x +y+4) + b(x-2y-3)=0 .The number of lines belonging to the family at a distance of sqrt(10) from point (2,-3) is

The coordinates of a point on the line (x-1)/(2)=(y+1)/(-3)=z at a distance 4sqrt(14) from the point (1, -1, 0) are

The number of points on the line x +y=4 which are unit distance apart from the line 2x+2y = 5 is :

The distance of the point (-2,6) from the line 3x - 4y - 10=0

The distance of the point (3,0,5) from the line x-2y+2z-4=0=x+3z-11 is

Distance of point (1,3) from the line 2x-3y+9=0 along x-y+1=0

A member of the family of lines (x+ y -1) + lambda(2x +3y-2) =0, lambda in R intersects a member of the family of lines (ax+y-2) + alpha(bx + 4y-5) = 0, alpha in R , at a fixed point. The ordered pair (a, b) is

Consider a family of straight lines (x+y)+lambda(2x-y+1)=0 . Find the equation of the straight line belonging to this family that is farthest from (1,-3)dot

Consider a family of straight lines (x+y)+lambda(2x-y+1)=0 . Find the equation of the straight line belonging to this family that is farthest from (1,-3)dot