Home
Class 12
MATHS
If the line - segment joining the points...

If the line - segment joining the points `A(x_(1),y_(1))andB(x_(2),y_(2))` subtends an angle `alpha` at the origin O, then find the value of `cosalpha`.

Text Solution

Verified by Experts

The correct Answer is:
`=(x_(1)x_(2)+y_(1)y_(2))/(sqrt((x_(1)^(2)+y_(1)^(2))(x_(2)^(2)+y_(2)^(2))))`
Promotional Banner

Topper's Solved these Questions

  • REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise EXERCISE 1 (MCQ)|30 Videos
  • REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise EXERCISE 1 (Very Short Type Questions )|41 Videos
  • RELATIONS

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion -Reason Type )|2 Videos
  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion-Reason type)|2 Videos

Similar Questions

Explore conceptually related problems

The points P divides the line - segment joining the points A(x_(1),y_(1))andB(x_(2),y_(2)) in the ratio m : n . If P lies on the line ax+by +c=0 , prove that, (m)/(n)=-(ax_(1)+by_(1)+c)/(ax_(2)+by_(2)+c) .

Find the condition If the segment joining the points (a,b) and (c,d) subtends a right angle at the origin

The straight line joining the points p(x_(1),y_(1))andQ(x_(2),y_(2)) makes an angle theta with the positiv direcction of the x-axis prove that , x_(2)=x_(1)+rcostheta and y_(2)=y_(1)+rsintheta where r=overline(PQ) .

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

If the line segment joining two points subtends equal angles at two other points on the same side, then the points are ………..

In what ratio the line - segment joining the points (3,4) and (2,-3) is divided by the x -axes ? Also find the ratio in which it is divided by the y- axis .

If the curve x^(2)+3y^(2)=9 subtends an obtuse angle at the point (2alpha, alpha) then a possible value of alpha^(2) is

If the chord u=mx +1 of the circel x ^(2) +y^(2)=1 subtends an angle of 45^(@) at the major segment of the circle, then the value of m is-

Prove that the line segment obtained by joining the points (1,2) and (-2,-4) passes through the origin.

The locus of the midpoints of chords of the circle x^(2) + y^(2) = 1 which subtends a right angle at the origin is