JEE MATHEMATICS MCQ: CIRCLES

1 Hard

1 of 1

Application +4 | -1

The sum of the coefficients in the expansion of

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

as a polynomial in

x

, vanishes. Position of the point

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

with respect to the circle

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

View answer and explanation

Correct option: A

Outside

Option A (Outside) is correct because substituting

\alpha = 1

into the circle's equation shows that the point (1, 2) lies outside the circle.

More Questions from CIRCLES

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{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

\left( {2k,3k} \right),\left( {1,0} \right),\left( {0,1} \right)

\left( {0,0} \right)