JEE Main Test 9...

In a ∆PQR, if 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P = 1, then ∠R is equal to

If cos (α + β ) = 4/5 and sin (α - β ) = 5/13, where 0 ≤ α ,β ≤ π/4, then tan 2α is equal to

A charged ball B hangs from a silk thread S, which makes an angle θ with a large charged conducting sheet P, as shown in the figure. The surface charge density σ of the sheet is proportional to

Each of the properties of sound in List I primarily depends on one of the quantities in List II. Select the correct answer (matching List I with List II) as per code given below the

If sin^-1 a + sin^-1 b + sin^-1 c = π, then the value of a√(1- a²) + b √(1 - b²) + c√(1 - c²) will be

What is the equivalent resistance between A and B in the given circuit?

In the capacitor shown in the circuit is charged to 5 V and left in the circuit, in 12s the charge on the capacitor will become

(e = 2.718)

A metal disc of radius 100 cm is rotated at a constant angular speed of 60 rads ^-1 in a plane at right angles to an external field of magnetic induction 0.05 Wbm^-2. The end' induced between the centre and a point on the rim will be

If the line px² - qxy - y² = 0 makes the angles α and β with X - axis, then the value of tan (α + β) is

A solenoid of inductance 2 H carries a current 1 A. What is the magnetic energy stored in a solenoid ?