The lines represented by the equation 9 x 2-24 xy -16 y 2-21 x -28 y -6-0 areA- CoincidentB- ParallelC- None of theseD- Perpendicular

The correct option is B Parallel Given lines are not perpendicular i.e., a b Checking for parallel lines, a/h = h/b = g/f (3x + 4y + 6)(3x + 4y + 1) = 0 ⇒9/12 ...

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Standard VII

Mathematics

Definition of Parallel Lines

The lines rep...

Question

The lines represented by the equation $9 x^{2} + 24 x y + 16 y^{2} + 21 x + 28 y + 6 = 0$ are

Parallel

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Coincident

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Perpendicular

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None of these

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Solution

The correct option is A
Parallel

Given lines are not perpendicular i.e., a $\neq$ -b

Checking for parallel lines, $\frac{a}{h} = \frac{h}{b} = \frac{g}{f}$

(3x + 4y + 6)(3x + 4y + 1) = 0 $\Rightarrow \frac{9}{12} = \frac{12}{16} = \frac{21}{28}$

Hence lines are parallel.

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The lines represented by the equation 9x2+24xy+16y2+21x+28y+6=0 are

The correct option is A Parallel Given lines are not perpendicular i.e., a≠ -b Checking for parallel lines, ah=hb=gf (3x + 4y + 6)(3x + 4y + 1) = 0 ⇒912=1216=2128 Hence lines are parallel.

The lines represented by the equation $9 x^{2} + 24 x y + 16 y^{2} + 21 x + 28 y + 6 = 0$ are

The correct option is A
Parallel

Given lines are not perpendicular i.e., a $\neq$ -b

Checking for parallel lines, $\frac{a}{h} = \frac{h}{b} = \frac{g}{f}$

(3x + 4y + 6)(3x + 4y + 1) = 0 $\Rightarrow \frac{9}{12} = \frac{12}{16} = \frac{21}{28}$

Hence lines are parallel.