Mathematics - Circle Question with Solution | TestHub

MathematicsCircleMiscellaneous/MixedMedium2 minPYQ_2005

MathematicsMediumsingle choice

If the pair of lines $a x^{2} + 2 (a + b) x y + b y^{2} = 0$ lie along diameters of a circle and divide the circle into four sectors such that the area of one of the sectors is thrice the area of another sector then

Options:

Answer:

Solution:

$\frac{2 ( a + b ) ^{2} - ab}{a + b} = 1 \Rightarrow (a + b)^{2} = 4 (a^{2} + b^{2} + ab) \Rightarrow 3 a^{2} + 3 b^{2} + 2 ab = 0.$

Stream:JEESubject:MathematicsTopic:CircleSubtopic:Miscellaneous/Mixed

⏱ 2mℹ️ Source: PYQ_2005

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