Home
Class 11
MATHS
A straight line through Q(2,3) makes an ...

A straight line through `Q(2,3)` makes an angle `(3pi)/4` with the negative direction of the x-axis. If the straight line intersects the line `x+y-7=0` at P, find PQ.

Text Solution

Verified by Experts

The correct Answer is:
`sqrt(2)`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE 3.3 (LONG ANSWER QUESTIONS)|4 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE 3.4(VERY SHORT ANSWER QUESTIONS)|3 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE 3.3 (VERY SHORT ANSWER QUESTIONS)|17 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

A straight line through Q(sqrt(3),2) makes an angle pi//6 with positive direction of the X-axis. If the straight line intersects the line sqrt(3)x-4y+8=0 at P , find the distance PQ.

A line through (2, 3) makes and angle pi//4 with the positive direction of x-axis. The length of the line segment between (2, 3) and the line x+y-7=0 is

A straight line through P(3,4) makes an angle of 60^(@) with the positive direction of the X-axis. Find the coordinates of the points with the line whre are 5 units away from P.

A straight line passing through A (-2,1) , makes an angle of 30^(@) with the positive direction of the X-axis. Find the points on the straight line whose distance from A is 4 units.

A straight line passing through A (1, -2) makes an angle Tan^(-1) 4/3 with the positive direction of the X-axis in the anticlock wise sense. Find the point on the straight line whose distance from A is 5 units.

If the straight line through the point P(3,4) makes an angle pi//6 with the x-axis in the positive direction and meets the line 3x+5y+1=0 at Q the length PQ is