Find the length of major axis of x29 -y24-1-

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Standard XII

Mathematics

Standard Equation of Ellipse

Find the leng...

Question

Find the length of major axis of $\frac{x^{2}}{9} + \frac{y^{2}}{4} = 1$ .

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None of these

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Solution

The correct option is D None of these
Comparing above equation with standard equation of ellipse,
$a^{2} = 9, b^{2} = 4 \Rightarrow a = 3, b = 2$
Clearly $a > b$
Hence length of major axis $= 2 a = 6$

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Find the length of major axis of x29+y24=1.

The correct option is D None of theseComparing above equation with standard equation of ellipse,a2=9,b2=4⇒a=3,b=2Clearly a>bHence length of major axis =2a=6

Find the length of major axis of $\frac{x^{2}}{9} + \frac{y^{2}}{4} = 1$ .

The correct option is D None of these
Comparing above equation with standard equation of ellipse,
$a^{2} = 9, b^{2} = 4 \Rightarrow a = 3, b = 2$
Clearly $a > b$
Hence length of major axis $= 2 a = 6$