Correct Answer: $\frac{9}4$ cm

Solution : Given, PT = 5 cm, PA = 4 cm and AB = x cm,
Secant PB = (4 + x) cm.
As we know when a tangent and secant are drawn from a common point outside the circle, then the square of the tangent

Correct Answer: 1

Solution : $\mathrm{(1+cot^2\theta)(1-cos\theta)(1+cos\theta)}$
$=\mathrm{(1+cot^2\theta)(1-cos^2\theta)}$
$=\mathrm{(cosec^2\theta)(sin^2\theta)}$
$=1$
Hence, the correct answer is 1.

Correct Answer: 2019

Solution : The correct option is 2019.

The Jammu and Kashmir Legislative Council was formally abolished on October 31, 2019. This followed the passage of the Jammu and Kashmir Reorganisation Act, 2019, which reorganised the state into the Union Territories of Jammu Kashmir and Ladakh. As

Correct Answer:

Solution : Because there is no restriction on the rotation of the figure, we will check all the possible angles where the question figure can fit itself in the given option figures.
By comparison of all the option figures, the given question figure is embedded only in the

Correct Answer: Shark : Ocean

Solution : Given:
Lion : Forest (Lion lives in the forest.)

Let's check the given options –
First option: Bee : Honey; Bee lives in the beehive.
Second option: Shark : Ocean; Shark lives in the ocean.
Third option: Flower : Honey; Flower is not

Correct Answer: Deer

Solution : Let's check each option –
First option: Calf; A calf is a young domestic cow or bull.
Second option: Lamb; A baby sheep is called a lamb.
Third option: Deer; A hoofed grazing or browsing animal.
Fourth option: Cub; The young one of a lion

Correct Answer: 25 cm

Solution : According to the question
Length of traverse common target = 20 cm
$r_1$ = 6 cm and $r_2$ = 9 cm
Now,
⇒ Length of traverse common target = $\sqrt{d^{2} - (r_1 + r_2)^{2}}$ 
⇒ $(20)^{2} = \sqrt{d^{2} - (r1 + r2)^{2}}$ 
⇒ 400

Correct Answer: Detergent

Solution : The correct option is Detergent.

Hard water requires more detergent to remove stains and provide a deep cleaning. On the other hand, soft water makes the process easier because it requires less water and detergent for a thorough cleaning.

Correct Answer: ×, =, –, +

Solution : Given:
8 * 5 * 27 * 3 * 16

Replace * with the mathematical signs and solve the equation using the BODMAS rule.

Let's check the given options –
First option: ×, =, –, +
⇒ 8 × 5 = 27

Correct Answer: +, −, +, −, =

Solution : Given:
234 * 345 * 456 * 567 * 678 * 12

Let's check the options –
First option: −, +, +, −, =
⇒ 234 − 345 + 456 + 567 − 678 = 12
Solving the L.H.S. of the