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

Question

SAGAR SINGH - IIT DELHI · Answer

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

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

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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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

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