JEE MATHEMATICS MCQ: CIRCLES

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Analyzing +4 | -1

If the line

x \cos \theta+y \sin \theta=2

is the equation of a transverse common tangent to the circles

x^2+y^2=4

and

x^2+y^2-6 \sqrt{3} x-6 y+20=0

, then the value of

\theta

View answer and explanation

Correct option: D

\frac{\pi}{6}

Option D (

\frac{\pi}{6}

) is correct because the equation of the common tangent can be found by using the condition

C_1C_2 = r_1 + r_2

and then comparing with the given equation.

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