Do You Know
This Class 10 Maths MCQ quiz is based on the NCERT syllabus and is useful for board exam preparation.
These multiple choice questions help students practice important concepts of trigonometry.
Detailed step-by-step solutions are also provided for better understanding. Students of CBSE and state boards can practice these questions to improve their maths preparation and problem-solving skills.
Q1. The value of $$\sin 30^\circ$$ is:
A) $$0$$
B) $$\frac{1}{2}$$
C) $$\frac{\sqrt{3}}{2}$$
D) $$1$$
Answer: $$\frac{1}{2}$$
Solution:
We know that:
$$\sin 30^\circ = \frac{1}{2}$$
Therefore, the correct answer is:
$$\frac{1}{2}$$
Q2. The value of $$\cos 60^\circ$$ is:
A) $$0$$
B) $$1$$
C) $$\frac{1}{2}$$
D) $$\sqrt{3}$$
Answer: $$\frac{1}{2}$$
Solution:
We know that:
$$\cos 60^\circ = \frac{1}{2}$$
Therefore, the correct answer is:
$$\frac{1}{2}$$
Q3. The value of $$\tan 45^\circ$$ is:
A) $$0$$
B) $$1$$
C) $$\sqrt{3}$$
D) $$\frac{1}{2}$$
Answer: $$1$$
Solution:
We know that:
$$\tan 45^\circ = 1$$
Therefore, the correct answer is:
$$1$$
Q4. If:
$$x^2 – 25 = 0$$
then the value of $$x$$ is:
A) $$5, -5$$
B) $$25, -25$$
C) $$1, -1$$
D) $$0, 5$$
Answer: $$5, -5$$
Solution:
Given:
$$x^2 – 25 = 0$$
Add $$25$$ to both sides:
$$x^2 = 25$$
Taking square root:
$$x = \pm 5$$
Therefore, the values of $$x$$ are:
$$5, -5$$
Q5. The common difference of the AP
$$3, 7, 11, 15$$
is:
A) $$2$$
B) $$3$$
C) $$4$$
D) $$5$$
Answer: $$4$$
Solution:
Common difference is:
$$7 – 3 = 4$$
Checking next terms:
$$11 – 7 = 4$$
$$15 – 11 = 4$$
Therefore, the common difference is:
$$4$$
Important Formula Section:
$$\sin 30^\circ = \frac{1}{2}$$
$$\cos 60^\circ = \frac{1}{2}$$
$$\tan 45^\circ = 1$$
$$a^2 – b^2 = (a+b)(a-b)$$
FAQs:
Q. What is the value of $$\sin 30^\circ$$?
Answer:
$$\frac{1}{2}$$
Q. What is the value of $$\tan 45^\circ$$?
Answer:
$$1$$
Q. What is the formula of difference of squares?
Answer:
$$a^2 – b^2 = (a+b)(a-b)$$
Conclusion:
These Class 10 Maths MCQ questions with answers are helpful for CBSE and state board students. Practicing these trigonometry and algebra questions regularly can improve conceptual understanding and board exam preparation.
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