JEE MATHEMATICS MCQ: CIRCLES

1 Easy

1 of 1

Application +4 | -1

If the equation

p x^2+(2-q) x y+3 y^2

-6 q x+30 y+6 q=0

represents a circle, then the values of

p

and

q

are

View answer and explanation

Correct option: B

p=3, q=2

Option B (

p=3, q=2

) is correct because for the given equation to represent a circle, the coefficient of

x^2

must equal the coefficient of

y^2

, and the coefficient of

xy

must be zero.

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