Home
Class 11
MATHS
A straight lines has slope (5)/(12) and...

A straight lines has slope `(5)/(12)` and it passes throught the point `P(3,-(7)/(2))` . Find the coordinates of a poin Q on this line which is at a distance of `(13)/(2)` unit from P.

Text Solution

Verified by Experts

The correct Answer is:
Therefore , the required coordinates of Q are (9,-1) or (-3,-6).
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    CHHAYA PUBLICATION|Exercise EXERCISE 2A (Multiple Choice Type Questions)|20 Videos

  • STRAIGHT LINE

    CHHAYA PUBLICATION|Exercise EXERCISE 2A(Very Short Answer Type Questions)|14 Videos

  • MATHEMATICAL INDUCTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams|20 Videos

Similar Questions

Explore conceptually related problems

A straight line has slope (3)/(4) and it passes through the point A(-2,-5) . Find the coordinates of a point B on this line where overline(AB) =10 unit.

Find the coordinates of a point on y axis which are at a distance of 5sqrt(2) from the point P(3,-2,5)

The coordinates of a point on the line x + y + 1 = 0 which is at a distance sqrt(2) units from the line 3x + 4y - 2 = 0 are

Find the coordinates of points on z-axis which are at a distance of 7 unit from the point ( - 3 , - 2 , 2) .

Column I, Column II The coordinates of a point on the line x=4y+5,z=3y-6 at a distance 3 from the point (5,3,-6) is/are, p. (-1,-2,0) The plane containing the lines (x-2)/3=(y+2)/5=(z+5)/7 and parallel to hat i+4 hat j+7 hat k has the point, q. (5,0,-6) A line passes through two points A(2-3,-1)a n dB(8,-1,2)dot The coordinates of a point on this line nearer to the origin and at a distance of 14 units from A is/are, r. (2,5,7) The coordinates of the foot of the perpendicular from the point (3,-1,11) on the line x/2=(y-2)/3=(z-3)/4 is/are, s. (14 ,15)

Find the coordinates of points on the straight line x+y=4 which are at unit distance from the line 4x+3y=10.

Find the slope of the lines : Passing through the points (3, - 2) " and " (3, 4)

Find the slope of the lines : Passing through the points (3, -2) " and " (-1, 4)

Find the slope of the lines : Passing through the points (3, - 2) " and " (7, -2)

Find the equation of the straight line passing throught the points (-3,4) and (5,-2) , find also the coordinates of the points where the line cuts the coordinate axes.