Q. 34.0( 2 Votes )
A straight line drawn through the point A (2, 1) making an angle
with positive x–axis intersects another line x + 2y + 1 = 0 in the point B. Find length AB.
Answer :
Given: (x1,y1) = A(2, 1), θ = 45°
To find:
Length AB.
Explanation:
So, the equation of the line is
Formula Used:
⇒
⇒
⇒ x – y – 1 = 0
Let PQ = r
Then, the coordinate of Q is given by
⇒ x , y
The coordinate of point Q is
Clearly, Q lies on the line x + 2y + 1 = 0
⇒
⇒ r
Hence, the length of AB is
Rate this question :






















Find all the points on the line x + y = 4 that lie at a unit distance from the line 4x+3y=10.
RS Aggarwal - MathematicsThe distance between the orthocenter and circumcentre of the triangle with vertices (1, 2) (2, 1) and is
What are the points on the x-axis whose perpendicular distance from the line is 4 units?
Find the equation of a line for which
p = 8, α = 225°
RD Sharma - MathematicsFind the equation of a line for which
p = 4, α = 150°
RD Sharma - MathematicsArea of the triangle formed by the points ((a + 3)(a + 4), a + 3), ((a + 2)(a + 3), (a + 2)) and ((a + 1)(a + 2), (a + 1)) is
RD Sharma - MathematicsFind the equation of straight line passing through ( – 2, – 7) and having an intercept of length 3 between the straight lines 4x + 3y = 12 and 4x + 3y = 3.
RD Sharma - MathematicsFind the distance of the line 2x + y = 3 from the point ( – 1, – 3) in the direction of the line whose slope is 1.
RD Sharma - Mathematics