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

The orthocentre of the triangle formed by the points $(1,3),(-3,5)$ and $(5,-1)$ is

A

$(-8,-10)$.

B

$(-3,2)$

C

$\left(-\frac{2}{3}, \frac{4}{3}\right)$

D

$(19,27)$

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

If $\alpha x^2+2 \gamma x y+\beta y^2=0$ is the equation of pair of lines passing through the origin and perpendicular to the pair of lines $b h x^2+a b x y+a h y^2=0(a \neq 0, b \neq 0)$, then $\alpha \beta / \gamma^2=$

A

$\frac{h^2}{a b}$

B

$\frac{-2 h^2}{a b}$

C

$\frac{-h^2}{a b}$

D

$\frac{4 h^2}{a b}$

3
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

$h^2=2 a b$

4
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

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