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Mathematics - Circle Question with Solution | TestHub

MathematicsCircleFamily of circlesMedium2 minQB

MathematicsMediumsingle choice

Passage / Comprehension

For Q90-92: The line x+2y+a=0 meets x²+y²=4 at distinct points A and B. The line 12x-6y-41=0 meets x²+y²-4x-2y+1=0 at distinct points C and D.

$x + 2 y + a = 0$ intersects $x^{2} + y^{2} = 4$ at distinct points $A, B$ . The line $12 x - 6 y - 41 = 0$ intersects $x^{2} + y^{2} - 4 x - 2 y + 1 = 0$ at distinct points $C, D$ . Find the circle through $A, B, C, D$ for the value of $a$ from the preceding question.

Options:

Answer:

Solution:

Put λ = -8/5 and a = 2 in the circle pencil, then multiply through by 5.

Stream:JEESubject:MathematicsTopic:CircleSubtopic:Family of circles

⏱ 2mℹ️ Source: QB

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