Home
Class 12
MATHS
The angle between the line joining the p...

The angle between the line joining the points `(1,-2) , (3,2)` and the line `x+2y -7 =0` is

Text Solution

Verified by Experts

The correct Answer is:
`pi//2`

`x+2y-7=0`
Slope of line (i) `m_1=(1)/(2)`
Slope of line `PQ=m_2=(2-(-2))/(3-1)=2`
where `P-=(1,-2)` and `Q-=(3,2)`.
Since `m_1,m_2=-1` the angle between line (1) and line `PQ is pi//` .
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSYEM

    CENGAGE PUBLICATION|Exercise Concept applications 1.5|5 Videos
  • COORDINATE SYSYEM

    CENGAGE PUBLICATION|Exercise Concept applications 1.6|9 Videos
  • COORDINATE SYSYEM

    CENGAGE PUBLICATION|Exercise Concept applications 1.3|10 Videos
  • COORDINATE SYSTEM

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|2 Videos
  • CROSS PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.2|13 Videos

Similar Questions

Explore conceptually related problems

The line joining the points (1,1,2) and (3,-2,1)meets the plane 3x + 2y + z = 6 is

the line joining the points (1,1,2) and (3,-2,1) meets the plane 3x+2y+z=6 is __

Find the angle between the lines joining the points (0,0) (2,3) and (2,-2),(3,5).

If the straight line joining the points (3,4) and (2,-1) be parallel to the line joining the points (a,-2) and (4,-a), find the value of a.

Find the acute angle between x-axis and the straight line joining the points (1, 1, 3) and (3, 2, 1).

. Find the angle between the x-axis and the line joining the points (3, -1) " and " (4, -2) .

Find the angle between the x-axis and the line joining the points (3, –1) and (4, –2).

If each of the points (x_1, 4), (-2,y_1) lies on the line joining the points (2, -1), (5, -3), then the points P(x_1, y_1) lies on the line :

The angle between the lines joining the origin to the points of intersection of the line sqrt3x+y=2 and the curve y^(2)-x^(2)=4 is

The line segment joining the points (1,2) and (-2, 1) is divided by the line 3x+4y=7 in the ratio