## Quadratic Equation Class 10 Mathematics – Videos

Meaning of Quadratic Equation : Solution of Quadratic Equation by Factorization Method : Example 1 : Example 2 : Sridhar Acharya Formula : Nature of Two Roots of the Quadratic Equation : Example 1 : Example 2 : Example 3 : Relation between Two Roots of the Quadratic Equation : 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…

## 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…

## 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…

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

## 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…

## Find the capital which gives Rs. 1 as interest per month at 5 % rate of interest per annum.

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…