A thief is chased by a policeman and distance between them is 3 km. The speed of policeman is 75 km/h and the speed of the thief is 60 km/h. The policeman will be able to catch the thief when the thief would have covered the distance of __________ km
The average weight of 15 persons is increased by 1.2 kg when one of them whose weight was 51 kg is replaced by a new man. The weight of the new man is
The following expression is equal to.
cot 85° + cos 75°
tan 85° + sin 75°
tan 5° + sin 15°
tan 85° - sin 75°
tan 5° - sin 15°
If x + y + z = 4 and x² + y² + z² = 12, then find xy + yz + xz.
If \( (5y + \frac{5}{y}) = 11, \) find the value of \(\left(y^{2}+\frac{1}{y^{2}}\right)
\)
\( 2\frac{21}{25} \)
\( 1\frac{21}{25} \)
\( 3\frac{21}{25} \)
\( 4\frac{21}{25} \)
\(
\frac{2\tan A}{1+\tan^{2}A}=?
\)
Find the value of sin(50 + θ) - cos(40 - θ).