It's a Question of your Career!

Correct Answer: 1

Solution : Given: $x=a\sec\theta$ and $y=b\tan\theta$
⇒ $\frac{x^{2}}{a^{2}}=\frac{a^{2}\sec^{2}\theta}{a^{2}}=\sec^{2}\theta$
⇒ $\frac{y^{2}}{b^{2}}=\frac{b^{2}\tan^{2}\theta}{b^{2}}=\tan^{2}\theta$
The value of $\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=\sec^{2}\theta-\tan^{2}\theta=1$
Hence, the correct answer is 1.

Correct Answer: 200

Solution : The correct answer is 200.

India has approximately 200 non-major (minor) ports, contributing significantly to the country's maritime trade alongside its 13 major ports. These minor ports handle both coastal and fishing trade, playing a crucial role in regional economies and national development. The

Correct Answer: – and +

Solution : Given:
7 × 2 + 4 – 6 ÷ 3 = 12

Let's check the options –
First option: × and –
7 – 2 + 4 × 6 ÷ 3 = 12
L.H.S. = 7 – 2 + 4 × 2
=

Correct Answer:

Solution : When the paper is unfolded, we will get –

Hence, the first option is correct.

Correct Answer: $70 \sqrt{3} \mathrm{~m}$

Solution :
Height = AC
We know, $\tan \theta=\frac{\text{Perpendicular}}{\text{Base}}$
⇒ $\tan60° =\frac{AC}{70}$
⇒ $\sqrt3=\frac{AC}{70}$
⇒ $AC=70\sqrt3\text{ m}$
Hence, the correct answer is $70\sqrt3\text{ m}$.

Correct Answer: assent

Solution : The correct choice is the first option.

Explanation:

Assent means to agree or express approval.

Ease means to make something less difficult or more manageable; the opposite of difficulty or hardship.

Restore means to bring back or return something to its original state; the opposite

Correct Answer: Bidesiya

Solution : The correct option is Bidesiya.

This originated in the Bhojpuri-speaking regions of Bihar and Uttar Pradesh in India. The Bidesiya dance form is deeply connected to the Bidesiya folk music genre, which expresses the emotions and experiences of migrants who have left their homes

Correct Answer: 12 cm

Solution : Given: The base of a prism is a right-angle triangle whose sides are 9 cm, 12 cm, and 15 cm.
The volume of this prism is 648 cm³.
Base area = $\frac{1}{2}$ × Perpendicular × Base
= $\frac{1}{2}$ × 9 × 12

Correct Answer: It increases to $8 \frac{1}{3}$ years.

Solution : Let the principal amount be $P$.
Simple interest after $t$ years at the rate of 10% per annum = $\frac{5}{8}P$
⇒ $\frac{P(10)t}{100}=\frac{5}{8}P$---(1)
⇒ $t=\frac{25}{4}$ years
New rate of interest $=\frac{3}{4}\times 10 = 7.5\%$
Let the new time taken for $P$

Correct Answer: tended

Solution : The correct choice is the first option.

Inclined, in this context, means having a tendency or a leaning towards a particular opinion or action. It implies a preference or a slight leaning towards agreeing with Arthur's ideas on this occasion. Hence, tended is the