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Maths-

General

Easy

Question

$text If end text 3 x to the power of 2 end exponent minus 11 x y plus 10 y to the power of 2 end exponent minus 7 x plus 13 y plus k equals 0$ denotes a pair of straight lines, then the point of intersection of the lines is

(1, 3)
(3, 1)
(-3, 1)
(1, -3)

The correct answer is: (3, 1)

$fraction numerator partial differential f over denominator partial differential x end fraction equals 0 comma fraction numerator partial differential f over denominator partial differential y end fraction equals 0$

Related Questions to study

The point of intersection of the straight lines represented by $6 x to the power of 2 end exponent plus x y minus 40 y to the power of 2 end exponent minus 35 x minus 83 y plus 11 equals 0$

The point of intersection of the straight lines represented by $6 x to the power of 2 end exponent plus x y minus 40 y to the power of 2 end exponent minus 35 x minus 83 y plus 11 equals 0$

The product of the perpendicular distances from the point (-2, 3) to the lines $x to the power of 2 end exponent minus y to the power of 2 end exponent plus 2 x plus 1 equals 0 text is end text$

The product of the perpendicular distances from the point (-2, 3) to the lines $x to the power of 2 end exponent minus y to the power of 2 end exponent plus 2 x plus 1 equals 0 text is end text$

The distance between the two lines represented by $8 x to the power of 2 end exponent minus 24 x y plus 18 y to the power of 2 end exponent minus 6 x plus 9 y minus 5 equals 0 text is end text$

The distance between the two lines represented by $8 x to the power of 2 end exponent minus 24 x y plus 18 y to the power of 2 end exponent minus 6 x plus 9 y minus 5 equals 0 text is end text$

parallel

The distance between the parallel lines $x to the power of 2 end exponent plus 2 square root of 2 x y plus 2 y to the power of 2 end exponent plus 4 x plus 4 square root of 2 y plus 1 equals 0 text is end text$

The distance between the parallel lines $x to the power of 2 end exponent plus 2 square root of 2 x y plus 2 y to the power of 2 end exponent plus 4 x plus 4 square root of 2 y plus 1 equals 0 text is end text$

The distance between the parallel lines $9 x to the power of 2 end exponent minus 6 x y plus y to the power of 2 end exponent plus 18 x minus 6 y plus 8 equals 0 text is end text$

The distance between the parallel lines $9 x to the power of 2 end exponent minus 6 x y plus y to the power of 2 end exponent plus 18 x minus 6 y plus 8 equals 0 text is end text$

$text If end text a x to the power of 2 end exponent plus 2 h x y plus b y to the power of 2 end exponent plus 2 g x plus 2 f y plus c equals 0$ represents a pair of parallel lines then $square root of fraction numerator g to the power of 2 end exponent minus a c over denominator f to the power of 2 end exponent minus b c end fraction end root equals$

$text If end text a x to the power of 2 end exponent plus 2 h x y plus b y to the power of 2 end exponent plus 2 g x plus 2 f y plus c equals 0$ represents a pair of parallel lines then $square root of fraction numerator g to the power of 2 end exponent minus a c over denominator f to the power of 2 end exponent minus b c end fraction end root equals$

parallel

The equation of the pair of lines through the point (a, b) and parallel to the coordinate axes is

The equation of the pair of lines through the point (a, b) and parallel to the coordinate axes is

The equation to the pair of lines through the origin perpendicular to the pair of lines $2 x to the power of 2 end exponent plus 5 x y plus 2 y to the power of 2 end exponent plus 10 x plus 5 y equals 0 text is end text$

The equation to the pair of lines through the origin perpendicular to the pair of lines $2 x to the power of 2 end exponent plus 5 x y plus 2 y to the power of 2 end exponent plus 10 x plus 5 y equals 0 text is end text$

The equation $x to the power of 2 end exponent minus 3 x y plus lambda y to the power of 2 end exponent plus 3 x minus 5 y plus 2 equals 0$ when l is a real number, represents a pair of straight lines. If q is the angle between these lines, then $C o s e c to the power of 2 end exponent invisible function application theta equals$

The equation $x to the power of 2 end exponent minus 3 x y plus lambda y to the power of 2 end exponent plus 3 x minus 5 y plus 2 equals 0$ when l is a real number, represents a pair of straight lines. If q is the angle between these lines, then $C o s e c to the power of 2 end exponent invisible function application theta equals$

parallel

The angle between the pair of lines $2 left parenthesis x plus 2 right parenthesis to the power of 2 end exponent plus 3 left parenthesis x plus 2 right parenthesis left parenthesis y minus 2 right parenthesis minus 2 left parenthesis y minus 2 right parenthesis to the power of 2 end exponent equals 0 text is end text$

The angle between the pair of lines $2 left parenthesis x plus 2 right parenthesis to the power of 2 end exponent plus 3 left parenthesis x plus 2 right parenthesis left parenthesis y minus 2 right parenthesis minus 2 left parenthesis y minus 2 right parenthesis to the power of 2 end exponent equals 0 text is end text$

The angle between the pair of lines $2 x to the power of 2 end exponent plus 5 x y plus 2 y to the power of 2 end exponent plus 3 x plus 3 y plus 1 equals 0 text is end text$

The angle between the pair of lines $2 x to the power of 2 end exponent plus 5 x y plus 2 y to the power of 2 end exponent plus 3 x plus 3 y plus 1 equals 0 text is end text$

$x to the power of 2 end exponent plus k subscript 1 end subscript y to the power of 2 end exponent plus 2 k subscript 2 end subscript y equals a to the power of 2 end exponent$ represents a pair of perpendicular lines if

$x to the power of 2 end exponent plus k subscript 1 end subscript y to the power of 2 end exponent plus 2 k subscript 2 end subscript y equals a to the power of 2 end exponent$ represents a pair of perpendicular lines if

parallel

$text The value of end text lambda text with end text vertical line lambda vertical line less than 16 text such that end text$ $2 x to the power of 2 end exponent minus 10 x y plus 12 y to the power of 2 end exponent plus 5 x plus lambda y minus 3 equals 0$ represents a pair of straight lines is

$text The value of end text lambda text with end text vertical line lambda vertical line less than 16 text such that end text$ $2 x to the power of 2 end exponent minus 10 x y plus 12 y to the power of 2 end exponent plus 5 x plus lambda y minus 3 equals 0$ represents a pair of straight lines is

The value of l such that $lambda x to the power of 2 end exponent minus 10 x y plus 12 y to the power of 2 end exponent plus 5 x minus 16 y minus 3 equals 0$ represents a pair of straight lines is

The value of l such that $lambda x to the power of 2 end exponent minus 10 x y plus 12 y to the power of 2 end exponent plus 5 x minus 16 y minus 3 equals 0$ represents a pair of straight lines is

If the equation $2 x y plus g x plus f y plus 5 equals 0$ represents a pair of lines, then fg =

If the equation $2 x y plus g x plus f y plus 5 equals 0$ represents a pair of lines, then fg =

parallel

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