JEE MATHEMATICS MCQ: CIRCLES

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Analyzing +4 | -1

(a, b)

is the mid-point of the chord

\overline{A B}

of the circle

x^2+y^2=r^2

. The tangent at A, B meet at

{C}

. then area of

\Delta A B C=

View answer and explanation

Correct option: B

\frac{\left(r^2-a^2-b^2\right)^{\frac{3}{2}}}{\sqrt{a^2+b^2}}

Option B is correct because the area of the triangle ABC is derived using the midpoint of the chord and the radius of the circle.

More Questions from CIRCLES

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{\left( {{\alpha ^2}{x^2} - 2\alpha \mathrm{ }x + 1} \right)^{51}},

x

\left( {\alpha ,2{\alpha ^2}} \right)

{x^2} + {y^2} = 4,

{x^2} + {y^2} - 2x + 4y - 4 = 0

{x^2} + {y^2} = {a^2}

\left( {{x_1},{y_1}} \right)

\quad \alpha, \beta

\gamma

P, Q

x^2+y^2=1

A

(-1,0)

A P, A Q

A R

G P

\cos \alpha / 2, \cos \beta / 2

\cos \gamma / 2

x+y=6

x+2 y=4

x+y=5

x-y=1

9 \pi