1
TS EAMCET 2020 (Online) 14th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

If a variable line is moving such that the intercepts made by it on the coordinate axes are reciprocal to each other, then the points $P(x, y)$ on such lines satisfy

A

$x+y>4$

B

$4 x y>1$

C

$4 x y<1$

D

$x+y=4$

2
TS EAMCET 2020 (Online) 14th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the lines drawn along the diagonals of the two squares formed by two pairs of lines $x^2-3|x|+2=0$ and $y^2-3 y+2=0$ form a square $A B C D$, then the equations of two adjacent sides of the square $A B C D$ are

A

$x+y=-3, x-y=3$

B

$x+y=0, x-y=3$

C

$x+y=3, x-y=-3$

D

$x-y=0, x+y=-3$

3
TS EAMCET 2020 (Online) 14th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $\pi / 3$ is the angle between the straight lines $p x+q y+r=0$ and $x \sin \alpha+y \cos \alpha=r(r \neq 0)$ which meet at a point $A$ and the straight line $x \cos \alpha-y \sin \alpha=0$ also passes through the point $A$, then

A

$p^2+q^2=4$

B

$p^2+q^2=2$

C

$p^2+q^2=r^2$

D

$p^2+q^2=2 r^2$

4
TS EAMCET 2020 (Online) 14th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

The distance between the point $(2,1)$ and the image of the point $(3,-1)$ with respect to the line $2 x+y-1=0$ is

A

$\sqrt{\frac{37}{5}}$

B

$\sqrt{\frac{81}{5}}$

C

$\sqrt{\frac{89}{5}}$

D

$\sqrt{\frac{29}{5}}$

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