Assertion Reason

Mathematics

Chapter 9: Some Applications of Trigonometry

Class 10

Assertion Reason Mathematics Chapter 4: Quadratic Equations for Class 10th is very important as assertion reason and Case Study Based Passages have been introduced by CBSE in 2020. Assertion reason and Case Study Type of questions helps students to think Critically on every aspects of life.

Here is a collection of few questions for CBSE Class 10th Term 2 Exams. These Assertion Reason Questions are fully solved. 

Directions: Mark the option which is most suitable :
(a) If both assertion and reason are true and reason is the correct explanation of assertion.
(b) If both assertion and reason are true but reason is not the correct explanation of assertion.
(c) If assertion is true but reason is false.
(d) If both assertion and reason are false.

Question.1.
Assertion : In the figure, if BC = 20 m, then height AB is 11.56 m.
Reason : `\tan \theta = \frac{AB}{BC}=\frac{Perpendicular}{Base}` where `\theta` is `\angle ACB`.Heights & Distance 05

(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
Both the assertion and reason are correct, reason is the correct explanation of the assertion.
`\tan \theta = \frac{AB}{BC}=\frac{AB}{20}`
AB = `\frac{1}{\sqrt{3}} \times 20`
AB = `\frac{20}{1.73}`
AB = 11.56 m

Question.2.
Assertion : If the length of shadow of a vertical pole is equal to its height, then the angle of elevation of the sun is `45^{0}`.
Reason : According to pythagoras theorem, `h^{2}=l^{2}+b^{2}`, where h = hypotenuse, l = length and b = base

(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
Both Assertion and Reason are correct, but Reason is not the correct explanation of the Assertion.

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