## Quadratic Equation Class 10 Mathematics – Videos

Meaning of Quadratic Equation : https://youtu.be/i7ia5ibODJM Solution of Quadratic Equation by Factorization Method : Example 1 : https://youtu.be/mYN5gKOnH6Q Example 2 : https://youtu.be/252fdXY-sOc Example 3 : https://youtu.be/L3a3NF81WAg Sridhar Acharya Formula : https://youtu.be/cpP1WiGvhTo Nature of Two Roots of the Quadratic Equation : Example 1 : https://youtu.be/G_kHonwTOos Example 2 : https://youtu.be/7snf5vPkdHE Example 3 Read more…

## Proportion

1 ) Check whether the numbers 2,3,4,6 are in proportion or not. 2 ) Check whether the numbers 2.5,-2,-5,4 are in proportion or not. 3 ) Check whether the numbers 2,7,14,42 are in proportion or not. 4) Check whether the numbers –√2,6,1,√18 are in proportion or not. 5 ) Check Read more…

## Ratio

RATIO 1 ) Write down the condition for which x : y becomes ratio of less inequality. Solution : x < y 2 ) Under which condition x : y becomes ratio of greater inequality ? Solution : x > y 3 ) Under which condition x : y becomes Read more…

## 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…

## Find the values of (0° ≤ θ ≤ 90° ) for which 2 sinθ cosθ = cosθ. ( WBBSE – 2019 )

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. ( WBBSE – 2019 )

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 of a 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. ( WBBSE – 2019 )

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 ? ( WBBSE – 2019 )

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 ∝ y2 and y = 2a when x = a, then show that y2 = 4ax . ( WBBSE – 2019 )

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 Rs. 100 in a bank and gets the amount Rs. 121 after two years . The rate of the compound interest is _______ % . ( WBBSE – 2019 )

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…