Goa Board (GBSHSE) - Class 9

Number Systems, Coordinate Geometry & Calculus Basics question bank (Mathematics (Class 9))

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Q1.

Arithmetic Progression (AP): In the topic 'Real Numbers, Irrational Numbers and Laws of Radicals', what is the formula for the sum of the first $n$ terms $S_n$?

(A)

$S_n = \frac{n}{2}[2a + (n-1)d]$ or $\frac{n}{2}(a + l)$ (Real Numbers, Irrational Numbers and Laws of Radicals)

(B)

$S_n = a + (n-1)d$

(C)

$S_n = n(a+d)$

(D)

None of these

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Q2.

Trigonometric Identities: Which identity is universally valid for 'Real Numbers, Irrational Numbers and Laws of Radicals'?

(A)

$\sin^2 \theta + \cos^2 \theta = 1$ and $1 + \tan^2 \theta = \sec^2 \theta$ (Real Numbers, Irrational Numbers and Laws of Radicals)

(B)

$\sin^2 \theta - \cos^2 \theta = 1$

(C)

$\tan^2 \theta - 1 = \sec^2 \theta$

(D)

None of these

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