1
VITEEE 2023
MCQ (Single Correct Answer)
+1
-0

The minium value of $$\left[2-\cos \theta+\sin ^2 \theta\right]$$ is

A
1
B
13/4
C
61/16
D
0
2
VITEEE 2023
MCQ (Single Correct Answer)
+1
-0

If $$z_1, z_2$$ and $$z_3$$ are the vertices $$A, B$$ and $$C$$ respectively of an isosceles right angled triangle with right angled at $$C$$, then $$\left(z_1-z_3^{\prime}\right)\left(z_2-z_3\right)$$ equals to

A
$$\left(z_1-z_2\right)^2$$
B
$$\frac{\left(z_1-z_2\right)^2}{2}$$
C
$$-\frac{\left(z_1-z_2\right)^2}{2}$$
D
$$-\left(z_1-z_2\right)^2$$
3
VITEEE 2023
MCQ (Single Correct Answer)
+1
-0

The line $$a x+b y+c=0$$ will be a tangent to the circle $$x^2+y^2=r^2$$, then

A
$$a^2+b^2=c^2 r^2$$
B
$$c^2=a^2+b^2$$
C
$$c^2=r^2\left(a^2+b^2\right)$$
D
$$\left(c^2+a^2\right)=b^2 r^2$$
4
VITEEE 2023
MCQ (Single Correct Answer)
+1
-0

The image of the point $$(2,3,7)$$ in the plane $$2 x+5 y-3 z-19=0$$, is

A
$$\left(\frac{78}{19}, \frac{157}{19}, \frac{73}{19}\right)$$
B
$$(4,8,4)$$
C
$$\left(\frac{3}{2}, \frac{5}{2}, 4\right)$$
D
$$\left(\frac{80}{19}, \frac{162}{19}, \frac{70}{19}\right)$$
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