If two perpendicular lines are having slopes m 1 and m 2- Then m 1 m 2 n will be n -0A- 1 alwaysB- -1 alwaysC- 2 alwaysD- 1 or -1

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Monotonically Increasing Functions

If two perpen...

Question

If two perpendicular lines are having slopes m $_{1}$ and m $_{2}$ . Then (m $_{1}$ m $_{2}$ ) $^{n}$ will be ( n $>$ 0)

1 always

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-1 always

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2 always

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1 or -1

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Solution

The correct option is D
1 or -1

If two perpendicular lines are having slopes m $_{1}$ and m $_{2}$ .

Then m $_{1}$ m $_{2}$ = -1

So (m $_{1}$ m $_{2}$ ) $^{n}$ will be 1 or -1 depending on n.

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Similar questions

m₁ and m₂ are the slope of two perpendicular lines, if

Q. If

m_{1} & m_{2}

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(m_{1} . m_{2} \neq - 1) & θ

is the acute angle between them, then

t a n θ = | \frac{m_{1} + m_{2}}{1 - m_{1} . m_{2}} |

Statement 1 : If two lines are perpendicular, then product of their slopes is –1.
Statement 2: If the product of slopes of two lines is –1, then these lines will be perpendicular.

Let L₁ and L₂ be two non-vertical lines with slopes m₁ and m₂ respectively. If α₁ and α₂ are the inclinations of lines L₁ and L₂, respectively. the acute angle (say θ) between lines L1 and L2 , is given by

When two lines of slopes $m_{1} & m_{2}$ are perpendicular to each other. Product of their slopes is 1

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If two perpendicular lines are having slopes m1 and m2. Then (m1m2)n will be ( n>0)

The correct option is D 1 or -1 If two perpendicular lines are having slopes m1 and m2. Then m1m2= -1 So (m1m2)n will be 1 or -1 depending on n.

If two perpendicular lines are having slopes m $_{1}$ and m $_{2}$ . Then (m $_{1}$ m $_{2}$ ) $^{n}$ will be ( n $>$ 0)

The correct option is D
1 or -1

If two perpendicular lines are having slopes m $_{1}$ and m $_{2}$ .

Then m $_{1}$ m $_{2}$ = -1

So (m $_{1}$ m $_{2}$ ) $^{n}$ will be 1 or -1 depending on n.