Home
Class 11
MATHS
A straight line L is drawn through the p...

A straight line L is drawn through the point A(2,1) is such that its point of intersection with `x+y=9` at distance of `3sqrt(2)` from A. Then angle made by L with positive direction of x-axis is

Text Solution

Verified by Experts

The correct Answer is:
`pi//4`
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

Angle made by the line y = x with the positive direction of X-axis is .......

If the equation of the pair of straight lines passing through the point (1,1) one making an angle theta with the positive dirction of the x-axis and the other making the same angle with the positive direction of the y-axis is x^2-(a+2)xyy^2+a(x+y-1)=0, ane-2 then the value of sin2theta is

Find the angle made by the straight line y=-sqrt(3)x+3 with positive direction of x-axis.

A straight line passing through (1, 1, 1) makes an angle of 60^(@) with the positive direction of the z-axis, and the cosines of the angles made with the positive directions of y, x-axis are in the ratio sqrt(3):1 . Then the acute angle between the two possible positions of the line is

A pair of straight lines is passing through the point (1, 1). One of the lines makes an angle theta with the positive direction of X-axis and the other makes the same angle with the positive direction of Y-axis. If the equation of the pair of straight lines is x^(2)-(a+2)xy+y^(2)+a(x+y-1)=0,a ne-2 , then the value of theta is

A line passes through the points (6,-7,-1) and (2,-3,1). The d.c's of the line so directed that the angle made by it with the positive direction of x-axis is acute are