Statement (i) : sin² θ + cos² θ = 1

Statement (ii) : cosec² θ + cot² θ = 1

Which of the following is valid ?

1. only (i)

2. only (ii)

3. both (i) and (ii)

4. neither (i) nor (ii)

In the given diagram, PS and PT are the tangents to the circle. SQ || PT and ∠SPT = 80°. The value of ∠QST is :

1. 140°

2. 90°

3. 80°

4. 50°

A rectangular sheet of paper of size 11 cm x 7 cm is first rotated about the side 11 cm and then about the side 7 cm to form a cylinder, as shown in the diagram. The ratio of their curved surface areas is:

1. 1 : 1

2. 7 : 11

3. 11 : 7

4. $\dfrac{11π}{7} : \dfrac{7π}{11}$

In the given diagram, ∆ABC ∼ ∆PQR. If AD and PS are bisectors of ∠BAC and ∠QPR respectively then:

1. ∆ABC ∼ ∆PQS

2. ∆ABD ∼ ∆PQS

3. ∆ABD ∼ ∆PSR

4. ∆ABC ∼ ∆PSR