1
TS EAMCET 2022 (Online) 19th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

$\frac{x^2}{a}+\frac{x y}{h}+\frac{y^2}{b}=0(a \neq 0, h \neq 0, b \neq 0)$ represents two coincident lines if

A

$h^2=a b$

B

$4 h^2=a b$

C

$h^2=4 a b$

D

$h^2=2 a b$

2
TS EAMCET 2022 (Online) 19th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the lines joining the origin to the points of intersection of the line $x+y=k$ and the curve $x^2+y^2-2 x-4 y+2=0$ are at right angles, then the sum of all the possible values of $k$ is

A

0

B

1

C

3

D

5

3
TS EAMCET 2022 (Online) 19th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

The equation of the incircle of the triangle formed by the lines $x=0, y=0$ and $3 x+4 y-24=0$ is

A

$x^2+y^2-24 x-24 y+144=0$

B

$x^2+y^2-6 x-6 y+9=0$

C

$x^2+y^2-4 x-4 y+4=0$

D

$x^2+y^2-8 x-8 y+16=0$

4
TS EAMCET 2022 (Online) 19th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

If two tangents are drawn from the point $P\left(\frac{\pi}{4}\right)$ on the circle $x^2+y^2=4$ to the circle $x^2+y^2=1$, then the slopes of the tangents are

A

$2 \pm \sqrt{2}$

B

$1 \pm \sqrt{2}$

C

$2 \pm \sqrt{3}$

D

$1 \pm \sqrt{3}$

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