Let one of the number be x
second number be 5x
2(x+21)=(5x+21)
=> 2x+42=5x+21
=> 2x−5x=21−42
=> −3x=−21
x=7
One of the number 7
Second number 7×5=35
Answer : 7,35
Let tan(15°) = tan(45°-30°)
We know that tan(A - B) = (tanA - tanB) /(1 + tan A tan B)
⇒tan(45°-30°) = (tan45°- tan30°)/(1+tan45°tan30°)
= {1- (1/√3)} / {1+(1/√3)}
∴ tan15° = (√3 -...
(d) it is slid parallel to itself.
Explanation:
A vector is defined by its magnitude and direction. If we slide it to a parallel position to itself, then none of the given...
(c) along a tangent
Explanation:
When a particle moves in a circle with a speed v, its instantaneous velocity has a magnitude v and direction along the tangent at that point. The...
The correct answer is (a) T1 > T2.
Explanation:
Taking the rod of uniform mass per unit length = m . Mass beyond a distance r from the pivot = m(L-r). And this mass will be...
(c) √(3gl).
Explanation:-
Let speed at the top = v, it is balanced by weight mg, so, mv²/l=mg
→v²= gl
Now let the speed when string is horizontal = v'
Here total energy = ½mv'²=½mv²+mgl
v'²=v²+2gl =...
(c) at a distance l/2 from 0
Explanation:
Since the rod is uniform its Center of mass (CoM) will be in the middle i.e. at l/2 distance from the ends. When the...
