1
AP EAPCET 2022 - 4th July Morning Shift
+1
-0

For $$\alpha \in\left[0, \frac{\pi}{2}\right]$$, the angle between the lines represented by $$[x \cos \theta-y] [(\cos \theta+\tan \alpha) x-(1-\cos \theta \tan \alpha) y]=0$$ is

A
$$\alpha$$
B
$$\theta$$
C
$$\theta+\alpha$$
D
$$\theta-\alpha$$
2
AP EAPCET 2021 - 20th August Morning Shift
+1
-0

When the axes are rotated through an angle 45$$^\circ$$, the new coordinates of a point P are (1, $$-$$1). The coordinates of P in the original system are

A
($$\sqrt2$$, $$\sqrt2$$)
B
($$\sqrt2$$, 0)
C
(0, $$\sqrt2$$)
D
($$-\sqrt2$$, 0)
3
AP EAPCET 2021 - 20th August Morning Shift
+1
-0

Find the equation of a straight line passing through $$(-5,6)$$ and cutting off equal intercepts on the coordinate axes.

A
$$6 x-5 y=30$$
B
$$x-y=-11$$
C
$$x+y=11$$
D
$$x+y=1$$
4
AP EAPCET 2021 - 20th August Morning Shift
+1
-0

Line has slope $$m$$ and $$y$$-intercept 4 . The distance between the origin and the line is equal to

A
$$\frac{4}{\sqrt{1-m^2}}$$
B
$$\frac{4}{\sqrt{m^2-1}}$$
C
$$\frac{4}{\sqrt{m^2+1}}$$
D
$$\frac{4 m}{\sqrt{m^2+1}}$$
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