Class 10 Maths Tutorials

Find the values of (0° ≤ θ ≤ 90° ) for which 2 sinθ cosθ = cosθ. Solution : 2 sinθ cosθ = cosθ ⇒ 2 sinθ cosθ – cosθ = 0 ⇒ cosθ ( 2 sinθ – 1 ) = 0 Either cosθ = 0 ⇒ cosθ = cos90° Read more…

If sin 10θ = cos8θ and 10θ is a positive acute angle, then find the value of tan9θ. Solution : sin 10θ = cos8θ [ ∵ sin ( 90 – θ ) = cos = θ ] ⇒ sin 10θ = sin ( 90 – 8θ ) ⇒ 10θ = Read more…

The length, breadth and height of a cuboid room be a unit, b unit and c unit respectively and a + b + c = 25, ab + bc + bc = 240.5 then find the length of the longest rod to be kept inside the room. Solution : The Read more…

In a partnership business the ratio of capitals of three men is 3 : 5 : 8 . The share of profit of the first member is Rs. 60 less then that of the third member, then what is the total profit in the business ? solution : ∵ Capital Read more…

x ∝ y2and y = 2a when x = a, then show that y2 = 4ax . Solution : x ∝ y2 ⇒ x = ky2 ——————-( 1 ) where k is variation constant . when x = a and y 2a, then from equation ( 1 ), a = Read more…

A person deposited ₹ 100 in a bank and gets the amount ₹ 121 after two years . The rate of the compound interest is ______% . Answer : 10% Explatation : Principal (P) = ₹ 100 Amount (A) = ₹ 121 Time (T) = ?? According to problem, A = P Read more…