AP EAPCET 2021 - 20th August Morning Shift | Circle Question 72 | Mathematics

Let $$C$$ be the circle center $$(0,0)$$ and radius 3 units. The equation of the locus of the mid-points of the chords of the circle $$c$$ that subtends an angle of $$\frac{2 \pi}{3}$$ at its centre is

$$x^2+y^2=\frac{1}{4}$$

$$x^2+y^2=\frac{27}{4}$$

$$x^2+y^2=\frac{9}{4}$$

$$x^2+y^2=\frac{5}{4}$$

AP EAPCET 2021 - 20th August Morning Shift

MCQ (Single Correct Answer)

-0

The length of the common chord of the circles $$x^2+y^2+3x+5y+4=0$$ and $$x^2+y^2+5x+3y+4=0$$ is __________ units.

AP EAPCET 2021 - 20th August Morning Shift

MCQ (Single Correct Answer)

-0

Find the equation of the circle which passes through the point $$(1,2)$$ and the points of intersection of the circles $$x^2+y^2-8 x-6 y+21=0$$ and $$x^2+y^2-2 x-15=0$$

$$x^2+y^2-18 x-12 y+27=0$$

$$2\left(x^2+y^2\right)-18 x-12 y+27=0$$

$$3\left(x^2+y^2\right)-18 x-12 y+27=0$$

$$4\left(x^2+y^2\right)-18 x-12 y+27=0$$

AP EAPCET 2021 - 19th August Evening Shift

MCQ (Single Correct Answer)

-0

Given, two fixed points $$A(-2,1)$$ and $$B(3,0)$$. Find the locus of a point $$P$$ which moves such that the angle $$\angle A P B$$ is always a right angle.

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

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

$$x+y+6=0$$

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

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