Maths-

General

Easy

Question

In an ellipse $9 x to the power of 2 end exponent plus 5 y to the power of 2 end exponent equals 45$ , the distance between the foci is

$4 \sqrt{5}$
$\frac{49}{4} x^{2} - \frac{51}{196} y^{2} = 1$
3
4

The correct answer is: 4

Given equation may be written as $fraction numerator x to the power of 2 end exponent over denominator 5 end fraction plus fraction numerator y to the power of 2 end exponent over denominator 9 end fraction equals 1.$ Comparing the given equation with standard equation, we get $a to the power of 2 end exponent equals 5$ and $b to the power of 2 end exponent equals 9.$ We also know that in an ellipse (where $b to the power of 2 end exponent greater than a to the power of 2 end exponent right parenthesis$ $a to the power of 2 end exponent equals b to the power of 2 end exponent left parenthesis 1 minus e to the power of 2 end exponent right parenthesis lambda$ or $e to the power of 2 end exponent equals fraction numerator b to the power of 2 end exponent minus a to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction equals fraction numerator 9 minus 5 over denominator 9 end fraction equals fraction numerator 4 over denominator 9 end fraction$ or $e equals fraction numerator 2 over denominator 3 end fraction.$
Therefore distance between foci $equals 2 b e equals 2 cross times 3 cross times fraction numerator 2 over denominator 3 end fraction equals 4$ .

If $P identical to left parenthesis x comma y right parenthesis$ , $F subscript 1 end subscript identical to left parenthesis 3 comma 0 right parenthesis$ , $F subscript 2 end subscript identical to left parenthesis negative 3 comma 0 right parenthesis$ and $16 x to the power of 2 end exponent plus 25 y to the power of 2 end exponent equals 400$ , then $P F subscript 1 end subscript plus P F subscript 2 end subscript$ equals

maths-General

General

chemistry-

Arrange the following in decreasing order of their solubility in water

chemistry-General

General

chemistry-

Which have maximum solubility in water, for nearly same molecular weight compounds

chemistry-General

General

chemistry-

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In an ellipse , the distance between the foci is

3 4

The correct answer is: 4

Given equation may be written as Comparing the given equation with standard equation, we get and We also know that in an ellipse (where or or Therefore distance between foci .

Related Questions to study

If , , and , then equals

If , , and , then equals

Arrange the following in decreasing order of their solubility in water

Arrange the following in decreasing order of their solubility in water

Which have maximum solubility in water, for nearly same molecular weight compounds

Which have maximum solubility in water, for nearly same molecular weight compounds

The correct order of solubility in water is :a) CH3OHb) CH3CH2OHc) d)

The correct order of solubility in water is :a) CH3OHb) CH3CH2OHc) d)

Decreasing order of melting point of compound I - IV follows :

Decreasing order of melting point of compound I - IV follows :

Decreasing order of melting point of compound I to IV follows

Decreasing order of melting point of compound I to IV follows

Which order is correct regarding melting point ?

Which order is correct regarding melting point ?

Decreasing order of boiling point of I to IV follow

Decreasing order of boiling point of I to IV follow

The correct boiling point order is :

The correct boiling point order is :

Arrange the following in decreasing order of their boiling points

Arrange the following in decreasing order of their boiling points

Decreasing order of boiling point of I - IV follows

Decreasing order of boiling point of I - IV follows

Correct boiling point order for I to IV is

Correct boiling point order for I to IV is

The correct order of dipole moment is :

The correct order of dipole moment is :

The increasing order of dipole moment of following compounds is :

The increasing order of dipole moment of following compounds is :

Which will have highest dipole moment ?

Which will have highest dipole moment ?

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In an ellipse $9 x to the power of 2 end exponent plus 5 y to the power of 2 end exponent equals 45$ , the distance between the foci is

$4 \sqrt{5}$
$\frac{49}{4} x^{2} - \frac{51}{196} y^{2} = 1$
3
4

The correct order of solubility in water is :
a) CH₃OH
b) CH₃CH₂OH
c)
d)

The correct order of solubility in water is :
a) CH₃OH
b) CH₃CH₂OH
c)
d)