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Locating a Point in Cartesian Plane

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Question

Find the joint equation of the pair of lines through the origin , one of which is parallel to 2x+y=5 and other is perpendicular to 3x-4x+7=0.

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Q. Find the joint equation of the following pair of lines.

2 x + y = 0

3 x - 5 y = 0

.

Q. Joint equation of a pair of lines passing through the point of intersection of the lines

x^{2} + x y - 2 y^{2} - 4 x + 7 y - 5 = 0

and perpendicular to these lines is

Q. Equation of the line pair through the origin and perpendicular to the origin and perpendicular to the line pair

x y - {3 y}^{2} + y - 2 x + 10 = 0

Q. Find the equation to the pair of lines through the origin which are perpendicular to the lines represented by

2 x^{2} - 5 x y + y^{2} = 0

Q. Find the joint equation the pair of line through the origin and making angle

\frac{π}{6}

3 x - y = 7

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Locating a Point in Cartesian Plane

Standard IX Mathematics

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