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
debadutta mishra , 14 Years ago
Grade 11
Analytical Geometry> pair of straight lines...
1 Answers
SAGAR SINGH - IIT DELHI
Last Activity: 14 Years ago
Dear student,
To find the angle between two lines of equation ax2+2hxy+by2=0 for the below given geometry constructions.
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
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