Mathematics - Circle Question with Solution | TestHub

MathematicsCircleChord, Intercept (Made by the circle)Medium2 minQB

MathematicsMediummatching list

Match Column I with Column II.

Answer:

Solution:

(A) Point of intersection of $2 x - y + 4 = 0& x + y + 5 = 0$ is $(- 3, - 2)$ Radius of the circle is $4$

(B) Put $y = 0, 2 x^{2} + 4 x + 1 = 0$

$x_{1} + x_{2} = - 2, x_{1} x_{2} = \frac{1}{2} ∣ x_{1} - x_{2} ∣ = 4 - 2 = 2$

Square of intercept length $= 2$

(C) Point of intersection of the lines is $(- 1, - 1)$ slope $= \frac{- 3}{4}$ So required equation is $4 x + 3 y + 7 = 0$ $C = 7$

(D) $Q = 3$

Stream:JEESubject:MathematicsTopic:CircleSubtopic:Chord, Intercept (Made by the circle)

⏱ 2mℹ️ Source: QB

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