Correct Answer: 2CD²

Solution :
Given that ABC is an isosceles triangle with $\angle$ C = 90$^\circ$.
Construct a circle of radius $r$ circumscribing triangle ABC with AB as diameter as $\angle$C will be an angle in a semicircle.
Since D can be any point, take it as the

Correct Answer: $\tan x \sin x$

Solution : $\sec x - \cos x$
$ = \frac{1}{\cos x} - \cos x $
$ = \frac{1- \cos ^{2}x}{\cos x}$
$ = \frac{\sin^{2}x}{\cos x}$
$ = \frac{\sin x }{\cos x}\times \sin x$
$ = \tan x \sin x$
Hence, the correct answer is

Correct Answer: 45°

Solution : According to the question,
Given : $ab = \frac{c^{2}}{2}$...............................(i)

In $\triangle$ABC,
Using Pythagoras theorem
AC² = AB² + BC²
⇒ $c^{2} = a^{2}+b^{2}$ .................................. (ii)
Put the value of $c^{2}$ in equation (i)
$2ab = a^{2} + b^{2}$
⇒ $a^{2} + b^{2}

Correct Answer: Seleucus I Nicator 

Solution : The correct option is Seleucus I Nicator.

Megasthenes is the Greek diplomat in the empire of Seleucus I Nicator. He was known for his visit to India. He wrote a book, Indica. In his book, he wrote about India. He is popularly known

Correct Answer: 4

Solution : Given, $\sec \theta-2 \cos \theta=\frac{7}{2}$
We know, $\cos\theta = \frac{1}{\sec\theta}$
⇒ $\sec \theta-\frac{2}{\sec \theta}=\frac{7}{2}$
⇒ $(\sec^2\theta - 2)2=7\sec\theta$
⇒ $2\sec^2\theta - 7\sec\theta -4 = 0$
Solving it as a quadratic equation, using middle-term splitting,
⇒ $2\sec^2\theta - 8\sec\theta + \sec\theta - 4 = 0$
⇒

Correct Answer: 2500

Solution : As per the given graph,
The total number of males = 3500 + 4500 + 4750 + 2250 + 3250 = 18250
The total number of females = 3000 + 3500 + 4000 + 1500 + 3750 = 15750
The required difference = The total

Correct Answer: Ruskin Bond

Solution : The correct option is Ruskin Bond.

Ruskin Bond is the author of numerous novels, articles, and short stories, most of which are aimed towards children. When he was seventeen years old, he penned his first novel. He received the Padma Shri award in 1999,

Correct Answer:

Solution : Given: 

In the above-given figure series, each element shifts one position in an anticlockwise direction.
So, following the pattern, the required figure will be as follows –

Hence, the second option is correct.

Correct Answer: Leena said, "My relatives are landing tomorrow."

Solution : The correct choice is the fourth option.

The direct form of reported speech involves directly quoting what was said without any changes to the tense or pronouns.

When transforming this into direct speech:

• "Leena said" introduces

Correct Answer: 13 cm

Solution :

As we know the altitude to the hypotenuse divides the triangle into two triangles that are similar to the original triangle and each other.
⇒ AD² = BD × DC
⇒ 6² = 4 × DC
⇒ DC = 9 cm
⇒