HSC Science (Computer Science) इयत्ता १२ वी - Maharashtra State Board Question Bank Solutions

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

3y² + 7xy = 0 

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

5x² – 9y² = 0

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

x² - 4xy = 0 

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

`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

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

x² + 2xy tan α - y² = 0

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

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:

5x² + 2xy - 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 

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

3x² − 4xy = 0 

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Auxiliary equation of 2x² + 3xy - 9y² = 0 is

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If two lines ax² + 2hxy + by² = 0 make angles α and β with X-axis, then tan (α + β) = _____.

If the slope of one of the two lines given by `"x"^2/"a" + "2xy"/"h" + "y"^2/"b" = 0` is twice that of the other, then ab : h² = ______.

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

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If the equation 3x² – 8xy + qy² + 2x + 14y + p = 1 represents a pair of perpendicular lines, then the values of p and q are respectively ______.

The area of triangle formed by the lines x² + 4xy + y² = 0 and x - y - 4 = 0 is ______.

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The combined equation of the coordinate axes is

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If h² = ab, then slopes of lines ax² + 2hxy + by² = 0 are in the ratio

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If slope of one of the lines ax² + 2hxy + by² = 0 is 5 times the slope of the other, then 5h² = ______

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If distance between lines (x - 2y)² + k(x - 2y) = 0 is 3 units, then k = ______.