###### Class 10 Maths Tutorials

## Quadratic Equation, Class – 10

Type – 01 Short Answer Type Questions : 1 ) Which of the following polynomial is a quadratic polynomial . ( i ) x2 – 7x + 2 ( ii ) 7×5 – x ( x + 2 ) ( iii ) 2x ( x + 5 ) + 1 Read more…

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Type – 01 Short Answer Type Questions : 1 ) Which of the following polynomial is a quadratic polynomial . ( i ) x2 – 7x + 2 ( ii ) 7×5 – x ( x + 2 ) ( iii ) 2x ( x + 5 ) + 1 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…

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…

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 ) = 0Either cosθ = 0 ⇒ cosθ = cos90° ( 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…

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…

Question : Find the capital which gives ₹ 1 as interest per month at 5 % rate of interest per annum. solution : Interest ( I ) = ₹ 1 Time ( T ) = 1 month = 1 / 12 years Rate ( R ) = 5 % Principal Read more…

The different between the simple interest the compound interest of ₹100 in 1 year at the rate of 10% p.a is Rs.1. Answer : False Explanation : Principle (P) = ₹ 100 Rate of interest (R) = 10% Time (T) = 1 year Simple interest ( S.I ) = PRT/100 Read more…

The compound ratio of ab :c2, bc : a2 and ca : b2 is 1:1. Answer : True Explanation : The given ratios are ab :c2 bc : a2 ca : b2 Compound Ratio of the given ratios = ( ab × bc × ca ) : ( c2 × 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…