Equation of the hyperbola whose axes are the axes of coordinates (focus lying on x-axis) and which passes through the point `(-3, 1)` and has eccentricity `sqrt(3)` can be

Options

A. `x^(2)-3y^(2)=6`
B. `x^(2)-2y^(2)=7`
C. `3x^(2)-y^(2)=7`
D. `2x^(2)-y^(2)=17`

Answer

D

Explanation

Equation of the …………….
Let equation of hyperbola be `(x^(2))/(a^(2)) - (y^(2))/(b^(2)) = 1`
`(9)/(a^(2)) - (1)/(b^(2))=1`
`a^(2)e^(2)=a^(2)+b^(2)`
`3a^(2)=a^(2)+b^(2)`
Solving
`a^(2)=(17)/(2), b^(2)=17`