If $p$ and $q$ are positive real numbers such that $p^2+$ $q^2=1$, then the maximum value of $(p+q)$ is :
- A2
- B$\frac{1}{2}$
- C$\frac{1}{\sqrt{2}}$
- ✓$\sqrt{2}$
Answer: D.
View full solution →35 questions across 7 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
M.C.Q (1 Marks)
14 Q→02True False[1 Marks ]
3 Q→031 Marks Question
8 Q→042 Marks Questions
2 Q→053 Marks Question
3 Q→06Fill In The Blanks[1 Marks ]
4 Q→07Match the following.
1 Q→One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Answer: D.
View full solution →Answer: D.
View full solution →Answer: A.
View full solution →Answer: C.
View full solution →Answer: B.
View full solution →| Part (A) | Part (B) |
| 1 The 9th term of geometric progression $1,4,16,64, \ldots$ | (a) $\sqrt{3}\left(\frac{1}{3}\right)^{n-1}$ |
| 2. The 10 th term of geometric progression $-\frac{3}{4}, \frac{1}{2},-\frac{1}{3}, \frac{2}{9}, \ldots \ldots$ is | (b) $4^8$ |
| 3. The $n$th term of geometric progression $\sqrt{3}, \frac{1}{\sqrt{3}}, \frac{1}{3 \sqrt{3}}, \ldots \ldots $ is | (c) 2186 |
| 4. The sum of seven terms of geometric progression $2,6,8$,$\ldots$ is | (d) $\sqrt{7}\left(\frac{3^{n / 2}-1}{\sqrt{3}-1}\right)$ |
| 5. The sum of 10 terms of geometric progression $4,2,1,1 / 2$, $\ldots$ is | (e) $8\left(1-\frac{1}{1024}\right)$ |
| (f) $\frac{1}{2}\left(\frac{2}{3}\right)^8$ |
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