JEE MATHEMATICS MCQ: CIRCLES

1 Easy

1 of 1

Analyzing +4 | -1

\alpha, \beta

and

\gamma

are parametric angles of three points

P, Q

and

R

respectively, on the circle

x^2+y^2=1

and

A

is the point

(-1,0)

. If the lengths of the chords

A P, A Q

and

A R

are in

G P

, then

\cos \left(\frac{\alpha}{2}\right), \cos \left(\frac{\beta}{2}\right)

and

\cos \left(\frac{\gamma}{2}\right)

are in

View answer and explanation

Correct option: B

G P

Option B (GP) is correct because if the lengths of the chords AP, AQ, and AR are in GP, then the cosines of half the angles are also in GP.

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