1
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

The locus of mid-points of points of intersection of $$x \cos \theta+y \sin \theta=1$$ with the coordinate axes is

A
$$x^2+y^2=4$$
B
$$\frac{1}{x^2}+\frac{1}{y^2}=\frac{1}{4}$$
C
$$\frac{1}{x^2}+\frac{1}{y^2}=\frac{1}{2}$$
D
$$x^2+y^2=2$$
2
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

Suppose $$P$$ and $$Q$$ lie on $$3 x+4 y-4=0$$ and $$5 x-y-4=0$$ respectively. If the mid-point of $$P Q$$ is $$(1,5)$$, then the slope of the line passing through $$P$$ and $$Q$$ is

A
$$\frac{83}{35}$$
B
$$\frac{65}{35}$$
C
$$\frac{-3}{4}$$
D
$$\frac{3}{4}$$
3
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

The length of intercept of $$x+1=0$$ between the lines $$3 x+2 y=5$$ and $$3 x+2 y=3$$ is

A
2
B
1
C
3
D
4
4
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

Suppose that the three points $$A, B$$ and $$C$$ in the plane are such that their $$x$$-coordinates as well as $$y$$-coordinates are in GP with the same common ratio. Then, the points $$A, B$$ and $$C$$

A
constitute a right angled triangle
B
form an isosceles triangle
C
lie on a straight line
D
form an equilateral triangle
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