A) \[y=-3x\pm \sqrt{15}\]
B) \[y=3x\pm \sqrt{6}\]
C) \[y=-3x\pm \sqrt{6}\]
D) \[y=2x\pm \sqrt{15}\]
Correct Answer: A
Solution :
Given, equation of hyperbola is \[=\left( a+b-c \right).\left[ a\times b-a\times c-b\times b+b\times c \right]\] \[\text{=a}\text{.a }\!\!\times\!\!\text{ b-a}\text{.a }\!\!\times\!\!\text{ c+a}\text{.b }\!\!\times\!\!\text{ c+b}\text{.a }\!\!\times\!\!\text{ b-b}\text{.a}\] \[\times c+b.b\times c-c.a\times b+c.a\times c-c.b\times c\] On comparing with \[=a.b\times c-b.a\times c-c.a\times b\] we get \[=\left[ abc \right]-\left[ bac \right]-\left[ cab \right]\] Given, equation of line is x ? 3y = 3. \[=\left[ abc \right]+\left[ abc \right]-\left[ abc \right]\] Slope of given line \[=\left[ abc \right]=a.b\times c\] Slope of line perpendicular to given line, m = - 3 Now, the equation of tangents are \[A=6{{x}^{2}}.\] \[\frac{dA}{dx}=12x\] \[\text{ }\!\!\Delta\!\!\text{ x = m }\!\!%\!\!\text{ of x}\]You need to login to perform this action.
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