TS EAMCET 2020 (Online) 14th September Morning Shift | Circle Question 153 | Mathematics

If the four points $A, B, C, D$ in the Argand plane represented respectively by the complex numbers $2+i, 4+3 i, 2+5 i, 3 i$ lie on a circle, then the centre of the circle is

$1+2 i$

$3+2 i$

$3+4 i$

$2+3 i$

TS EAMCET 2020 (Online) 14th September Morning Shift

MCQ (Single Correct Answer)

-0

The centre and radius of the circumcircle of the triangle formed by the lines $2 x+3 y=10, y=x$ and the $X$-axis are respectively.

$\left(\frac{-5}{2}, \frac{3}{2}\right), \frac{\sqrt{34}}{2}$

$\left(\frac{5}{2}, 2\right), \frac{\sqrt{41}}{2}$

$\left(\frac{5}{2}, \frac{-1}{2}\right), \sqrt{\frac{13}{2}}$

$\left(\frac{1}{2}, \frac{-5}{2}\right), \sqrt{\frac{13}{2}}$

TS EAMCET 2020 (Online) 14th September Morning Shift

MCQ (Single Correct Answer)

-0

If the straight lines $3 x-4 y+4=0$ and $6 x-8 y-7=0$ are the tangents to the same circle, then the area of that circle (in square units) is

$\frac{9 \pi}{4}$

$\frac{9 \pi}{16}$

$\frac{25 \pi}{9}$

$\frac{121 \pi}{25}$

TS EAMCET 2020 (Online) 14th September Morning Shift

MCQ (Single Correct Answer)

-0

In the List-I each item contains equations of two circles, List-II contains the number of common tangents for each pair of circles given in List-I. Match the items of List-I with those of the items of List-II

$$ \text { List-I } $$		$$ \text { List-II } $$
A.	$$ \begin{aligned} & x^2+y^2+2 x+8 y-23=0 \\ & x^2+y^2-4 x-10 y+19=0 \end{aligned} $$	I.	0
B.	$$ \begin{aligned} & x^2+y^2=1 \\ & x^2+y^2-2 x-6 y+6=0 \end{aligned} $$	II.	1
C.	$$ \begin{aligned} & x^2+y^2-8 x+2 y=0 \\ & x^2+y^2-2 x-16 y+25=0 \end{aligned} $$	III.	2
D.	$$ \begin{aligned} & x^2+y^2=4 \\ & x^2+y^2-2 x=0 \end{aligned} $$	IV.	3
		V.	4

$$ \text { The correct match is } $$

A	B	C	D
V	I	III	II

A	B	C	D
IV	I	III	II

A	B	C	D
IV	V	III	II

A	B	C	D
III	IV	I	IV

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