The line y-3x-3-0 cuts the parabola y2-x-2 at A and B- If P-3-0- then PA-PB is equal to

The correct option is A 43(2+√(3)) ...

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Byju's Answer

Standard XII

Mathematics

Position of a Point with Respect to Circle

The line y-...

Question

The line $y - \sqrt{3} x + 3 = 0$ cuts the parabola $y^{2} = x + 2$ at $A$ and $B$ . If $P (\sqrt{3}, 0)$ , then $P A . P B$ is equal to

\frac{4}{3} (2 + \sqrt{3})

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\frac{4}{3} (2 - \sqrt{3})

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2 \sqrt{3}

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\frac{2}{3} (2 + \sqrt{3})

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Solution

The correct option is A $\frac{4}{3} (2 + \sqrt{3})$

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Similar questions

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y - \sqrt{3} x + 3 = 0

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Q. If the line

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The line y−√3x+3=0 cuts the parabola y2=x+2 at A and B. If P(√3,0), then PA.PB is equal to

The correct option is A 43(2+√3)

The line $y - \sqrt{3} x + 3 = 0$ cuts the parabola $y^{2} = x + 2$ at $A$ and $B$ . If $P (\sqrt{3}, 0)$ , then $P A . P B$ is equal to

The correct option is A $\frac{4}{3} (2 + \sqrt{3})$