Exercise - 6.4
Chapter 3: Chapter 4 · Knowledge Base · EN medium
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. Find the combined equation of the straight lines whose separate equations are x − y − = and x + y + = . . Show that x + xy + y − x − y − = represents a pair of parallel lines. . Show that x + xy − y + x + y + = represents a pair of perpendicular lines. . Show that the equation x − xy − y − x + y − = represents a pair of intersecting lines. Show further that the angle between them is tan − ( ) . . Prove that the equation to the straight lines through the origin, each of which makes an angle α with the straight line y = x is x − xy sec α + y = . Find the equation of the pair of straight lines passing through the point ( , ) and perpendicular to the lines x − y + = and x + y − =
📖 Namma Kalvi 11th Maths Textbook Volume 1 English Medium · Page 289
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. Find the combined equation of the straight lines whose separate equations are x − y − = and x + y + = . . Show that x + xy + y − x − y − = represents a pair of parallel lines.
. Show that x + xy − y + x + y + = represents a pair of perpendicular lines. . Show that the equation x − xy − y − x + y − = represents a pair of intersecting lines.
Show further that the angle between them is tan − ( ) . . Prove that the equation to the straight lines through the origin, each of which makes an angle α with the straight line y = x is x − xy sec α + y = . Find the equation of the pair of straight lines passing through the point ( , ) and perpendicular to the lines x − y + = and x + y − =
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