If ax - by - c - 0 and - - my - n - 0 are asymptotes of a hyperbola- then-

The correct option is D am≠ bφ Asymptotes of Hyperbola are Intersecting each other #160;So, These line will be anti parallel or intersectingCondition fo ...

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Standard XII

Mathematics

Applications of Cross Product

If ax + by + ...

Question

If ax + by + c = 0 and $φ χ$ + my + n = 0 are asymptotes of a hyperbola, then:

a m \neq b φ

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\frac{a m + b φ}{a φ + b m} \neq 0

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a φ \neq b m

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none of these

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Solution

The correct option is D $a m \neq b φ$
Asymptotes of Hyperbola are Intersecting each other

So, These line will be anti-parallel or intersecting

Condition for intersecting lines is $\frac{a}{b} \neq \frac{φ}{m} \Rightarrow a m \neq b φ$

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Similar questions

If ax+by+c=0 and lx+my+n=0 are asymptotes of a hyperbola, then

Q. If

a

and

b

are non-zero integers,

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and

n

are any integers, then which of the following are true?

We are giving the concept of A.M of

m^{t h}

power.Let

a, b > 0

and

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and let

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be a real number. Then

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However, if

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\frac{a^{m} + b^{m}}{2} < {(\frac{a + b}{2})}^{m}

.
Obviously, if

m \in {0, 1}

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\frac{a^{m} + b^{m}}{2} = {(\frac{a + b}{2})}^{m}

.
On the basis of the above information, answer the following questions:

The correct statement for sequence

C

is:

We are giving the concept of A.M of

m^{t h}

power.Let

a, b > 0

and

a \neq b

and let

m

be a real number. Then

\frac{a^{m} + b^{m}}{2} > {(\frac{a + b}{2})}^{m}

m \in R - [0, 1]

However, if

m \in (0, 1)

then

\frac{a^{m} + b^{m}}{2} < {(\frac{a + b}{2})}^{m}

.
Obviously, if

m \in {0, 1}

then

\frac{a^{m} + b^{m}}{2} = {(\frac{a + b}{2})}^{m}

.
On the basis of the above information, answer the following questions:

a, b, c

be positive and in H.P and if

λ = \frac{a^{n} + c^{n}}{b^{n}}

for all

n \notin (0, 1),

then the correct statement is:

We are giving the concept of A.M of

m^{t h}

power.Let

a, b > 0

and

a \neq b

and let

m

be a real number. Then

\frac{a^{m} + b^{m}}{2} > {(\frac{a + b}{2})}^{m}

m \in R - [0, 1]

However, if

m \in (0, 1)

then

\frac{a^{m} + b^{m}}{2} < {(\frac{a + b}{2})}^{m}

.
Obviously, if

m \in {0, 1}

then

\frac{a^{m} + b^{m}}{2} = {(\frac{a + b}{2})}^{m}

.
On the basis of the above information, answer the following questions:

a, b, c

be positive real numbers, then the possible best option of values

\frac{a}{b + c} + \frac{b}{c + a} + \frac{c}{a + b}

lie between:

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If ax + by + c = 0 and φχ + my + n = 0 are asymptotes of a hyperbola, then:

The correct option is D am≠bφAsymptotes of Hyperbola are Intersecting each other So, These line will be anti-parallel or intersectingCondition for intersecting lines is ab≠φm⇒am≠bφ

If ax + by + c = 0 and $φ χ$ + my + n = 0 are asymptotes of a hyperbola, then:

The correct option is D $a m \neq b φ$
Asymptotes of Hyperbola are Intersecting each other

So, These line will be anti-parallel or intersecting

Condition for intersecting lines is $\frac{a}{b} \neq \frac{φ}{m} \Rightarrow a m \neq b φ$