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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Find the joint equation of the line: x - y = 0 and x + y = 0 - Mathematics and Statistics

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प्रश्न

Find the joint equation of the line:

x - y = 0 and x + y = 0

बेरीज
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उत्तर

Find the joint equation of the line x - y = 0 and x + y = 0 is

(x - y)(x + y) = 0

∴ x2 - y2 = 0

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Pair of Straight Lines - Miscellaneous Exercise 4 [पृष्ठ १३०]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] Standard 12 Maharashtra State Board
पाठ 4 Pair of Straight Lines
Miscellaneous Exercise 4 | Q 1.01 | पृष्ठ १३०

संबंधित प्रश्‍न

Find the combined equation of the following pair of lines:

2x + y = 0 and 3x − y = 0


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5x2 – 9y2 = 0


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`3"x"^2 - 2sqrt3"xy" - 3"y"^2 = 0`


Find the separate equation of the line represented by the following equation:

x2 + 2(cosec α)xy + y2 = 0


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5x2 - 8xy + 3y2 = 0 


Find the combined equation of the pair of a line passing through the origin and perpendicular to the line represented by the following equation:

xy + y2 = 0 


Choose correct alternatives:

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The joint equation of the lines through the origin and perpendicular to the pair of lines 3x2 + 4xy – 5y2 = 0 is _______.


Choose correct alternatives:

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x2 + 2xy - y2 = 0


Show that the following equations represents a pair of line:

4x2 + 4xy + y2 = 0


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`"x"^2 - 2sqrt3"xy" - "y"^2 = 0`


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6x2 - 5xy - 6y2 = 0


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x2 + 4xy - 5y2 = 0


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x2 + xy - y2 = 0


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2x2 + xy - y2 + x + 4y - 3 = 0


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Find the combined equation of the pair of lines passing through the origin and perpendicular to the lines represented by 3x2 + 2xy – y2 = 0.


If `x^2/a + y^2/b + (2xy)/h` = 0 represents a pair of lines and slope of one line is twice the other, then find the value of ab : h2.


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The distance between the lines represented by the equation 4x² + 4xy + y² − 6x − 3y − 4 = 0 is


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