Where can I practice free MCQ tests online?

You can practice free MCQ tests with answers and explanations on MCQBits.

Are MCQBits mock tests free?

Yes, all MCQ practice tests and quizzes on MCQBits are completely free.

TS Polycet (Polytechnic) 2017 Previous Question Paper with Answers And Model Papers With Complete Analysis

41)(0, 0), (1, 0), (0, -4) are the vertices of a _____________ triangle.

A) equilateral

B) isosceles

C) right-angled isosceles

D) scalene

View Answer

D) scalene
Explanation:A(0,0)B(1,0)and C(0,-4)
AB = $\sqrt{1^2+0^2}$

= 1
BC = $\sqrt{1^2+4^2} = \sqrt{17}$

CA = $\sqrt{4^2}$

= 4
The points forms a scalene triangle.

42)If (8,1), (k, -4), (2, -5) are collinear, then k =

A) 1

B) 2

C) 3

D) 4

View Answer

C) 3
Explanation: $(\begin{pmatrix}X_1&Y_1\\8&1\end{pmatrix}) (\begin{pmatrix}X_2&Y_2\\k&-4\end{pmatrix}) (\begin{pmatrix}X_3&Y_3\\2&-5\end{pmatrix})$

,given points are collinear, △ = 0
△ = $\frac12\begin{vmatrix}x_1-X_2&Y_1-Y_2\\X_1-X_3&Y_1-Y_3\end{vmatrix}$

=0
= $\frac12\begin{vmatrix}8-k&1-(-4)\\8-2&1-(-5)\end{vmatrix}$

= 0
= $\frac12\begin{vmatrix}8-k&5\\6&6\end{vmatrix}$

= 0
= $\frac12\begin{vmatrix}8-k&1+4\\6&1+5\end{vmatrix}$

=0
6(8 – k) – 6 x 5 = 0
48-6k-30 = 0
⇒18-6k = 0
⇒6(3-k) = 0
⇒k=3

43)If the slope of the line through (2, -7) and (x, 5) is 3 then x =

A) 4

B) 5

C) 6

D) 7

View Answer

C) 6
Explanation: $\begin{pmatrix}X_1&Y_1\\2&-7\end{pmatrix} and \begin{pmatrix}X_2&Y_2\\k&5\end{pmatrix}$

Slope of the line = m= $\frac{Y_2-Y_1}{X_2-X_1}$

= $\frac{5-(-7)}{X-2}$

= 3
12 = 3x-6
3x = 18
X = 18/3
X = 6

44)The distance between the points (cosθ, sinθ) and (-sinθ, cosθ) is

A) 1

B) √2

C) 2

D) √3

View Answer

B) √2
Explanation:(cosθ, sinθ) and (-sinθ, cosθ)
= $\sqrt{\left(X_{2\;}-X_1\right)^2\;+}(Y_2-Y_1)^2$

= $\sqrt{\left(-\sin\theta-\cos\theta\right)^2\;+}(Cos\theta-Sin\theta)^2$

= $\sqrt{\sin^2\theta-\cos^2\theta\;+2\sin\theta cos\theta+\sin^2\theta-\cos^2\theta-2Sin\theta\cos\theta}$

= $\sqrt{1+1}$

=√2

45)The number of elements in a triangle is

A) 3

B) 4

C) 6

D) 5

View Answer

C) 6

46)In the figure

A) 2

B) 4

C) 6

D) 8

View Answer

C) 6
Explanation:AN/NC = AM/MB ⇒ 3/18 = AM/24
AM = 3×24/18
=4

47)If two triangles have the same base and area then they lies between

A) parallel lines

B) two straight lines

C) perpendicular lines

D) intersecting lines

View Answer

A) parallel lines

48)A 1.5 m tall boy casts 2 m shadow. At the same instance, a lamppost casts a shadow of 10 m. Then the height of the lamppost is

A) 6.5 m

B) 7.5 m

C) 8.5 m

D) None

View Answer

B) 7.5 m

49)In the figure, x =

A) 45°

B) 135°

C) 90°

D) 15°

View Answer

B) 135°
Explanation:x° = 55° + 80° = 135°

50)In the figure, x =

A) 100°

B) 90°

C) 110°

D) 80°

View Answer

A) 100°
Explanation:∠AOB = 2∠ACB = 2 x 50° = 100°

Your Score: 0 / 0

Start Test

Spread the love

Pages: 1 2 3 4 5 6 7 8 9 10 11 12

Leave a Comment Cancel Reply