AP EAPCET 2024 - 20th May Evening Shift | Circle Question 32 | Mathematics

If the locus of the mid-point of the chords of the circle $x^2+y^2=25$, which subtend a right angle at the origin is given by $\frac{x^2}{\alpha^2}+\frac{y^2}{\alpha^2}=1$, then $|\alpha|=$

$\frac{2}{5}$

$\frac{5}{\sqrt{2}}$

$\frac{2}{25}$

$5 \sqrt{2}$

AP EAPCET 2024 - 20th May Evening Shift

MCQ (Single Correct Answer)

-0

The radical centre of the circles $x^2+y^2+2 x+3 y+1=0$, $x^2+y^2+x-y+3=0, x^2+y^2-3 x+2 y+5=0$

$\left(-\frac{7}{38}, \frac{6}{19}\right)$

$\left(\frac{6}{19}, \frac{14}{19}\right)$

$\left(\frac{14}{19}, \frac{6}{19}\right)$

$\left(\frac{2}{19}, \frac{3}{19}\right)$

AP EAPCET 2024 - 20th May Morning Shift

MCQ (Single Correct Answer)

-0

If a circle is inscribed in an equilateral triangle of side $a$, then the area of any square (in sq units) inscribed in this circle is

$\frac{2 a^2}{3}$

$\sqrt{3} \frac{a^2}{2}$

$\frac{a^2}{2 \sqrt{3}}$

$\frac{a^2}{6}$

AP EAPCET 2024 - 20th May Morning Shift

MCQ (Single Correct Answer)

-0

If the line segment joining the points $(1,0)$ and $(0,1)$ subtends an angle of $45^{\circ}$ at a variable point $P$, then the equation of the locus of $P$ is

$\left(x^2+y^2-1\right)\left(x^2+y^2-2 x-2 y+1\right)=0, x \neq 0,1$

$\left(x^2+y^2-1\right)\left(x^2+y^2+2 x+2 y+1\right)=0, x \neq 0,1$

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

$x^2+y^2=4$

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