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Prove that the two straight lines (x^2 +y^2)(cos^2asin^2b+sin^2a)=(xtanb-ysina)^2 include an 2b

Prove that the two straight lines (x^2 +y^2)(cos^2asin^2b+sin^2a)=(xtanb-ysina)^2 include an 2b

Grade:11

1 Answers

SAGAR SINGH - IIT DELHI
879 Points
11 years ago

Dear student,

To find the angle between two lines of equation ax2+2hxy+by2=0 for the below given geometry constructions.

angle between two lines

Dividing throughout by x2, we get

m_1+m_2

This being a quadratic in m has two roots m1 and m2.

m_1+m_2

m_1.m_2

If m1 and m2 are the slopes of the lines, then q, the angle between the lines is given by

angle is equal to

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B.Tech, IIT Delhi

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