For the following questions answer them individually
Simplify the following: $$\left(1 + \cot2 \theta\right)\left(1 − \cos \theta\right)\left(1 + \cos \theta\right)$$
Two circles of radii 8 cm and 3 cm, respectively, are 13 cm apart. AB is a direct common tangent touch to both the circles at A and B respectively then the length of AB is
If the radius of a sphere increases by 10%, what would be the change in the surface area of the sphere?
Study the given table and answer the question that follows.
Production of masks (in million) by a company during the first half of 2020
In the case of Activated Carbon Masks, in which pair of months was the production equal?
In the given figure, MNP, SQP, NQR and MSR are straight lines. $$\angle NPQ = 54^{\circ}$$ and = $$\angle QRS = 68^{\circ}$$. What is the degree measure of $$\angle$$ SMN?
A and B run a 12 km race on a circular track of length 1200 m. They complete one round in 300 seconds and 400 seconds, respectively. After how much time from start will the faster person meet the slower person for the last time?
The perimeters of two similar triangles are 36 cm and 24 cm, respectively. Find the ratio of their areas.
Satish bought 35 notebooks for ₹700 and sold 28 of them for ₹600. Find his percentage gain
What is the greatest number of six digits, which when divided by each of 16, 24, 72 and 84, leaves the remainder 15?