AP EAPCET 2024 - 21th May Evening Shift | Circle Question 17 | Mathematics

The perimeter of the locus of the point $P$ which divides the line segment QA internally in the ratio $1: 2$, where $A=(4,4)$ and $Q$ lies on the circle $x^2+y^2=9$, is

$8 \pi$

$4 \pi$

$\pi$

$9 \pi$

AP EAPCET 2024 - 21th May Evening Shift

MCQ (Single Correct Answer)

-0

If the equation of the circle whose radius is 3 units and which touches internally the circle $x^2+y^2-4 x-6 y-12=0$ at the point $(-1,-1)$ is $x^2+y^2+p x+q y+r=0$, then $p+q-r=$

$\frac{5}{2}$

$\frac{26}{5}$

AP EAPCET 2024 - 21th May Evening Shift

MCQ (Single Correct Answer)

-0

The equation of the circle touching the circle $x^2+y^2-6 x+6 y+17=0$ externally and to which the lines $x^2-3 x y-3 x+9 y=0$ are normal is

$x^2+y^2-3 x+2 y-2=0$

$x^2+y^2-6 x-2 y+1=0$

$x^2+y^2+6 x-2 y-1=0$

$x^2+y^2-9 x-3 y+2=0$

AP EAPCET 2024 - 21th May Evening Shift

MCQ (Single Correct Answer)

-0

The pole of the straight line $9 x+y-28=0$ with respect to the circle $2 x^2+2 y^2-3 x+5 y-7=0$ is

$(-1,3)$

$(2,-3)$

$(3,-1)$

$(3,-3)$

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