## 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…

## H.C.F and L.C.M of Algebraic Expression Class 8 Mathematics

G.C.D = Greatest Common Divisior H.C.F = Higest Common Factor L.C.M = Least Common Multiple Level – 01 1 ) Find G.C.D of 4a2 b2 , 20ab2 . Solution : First term = 4a2 b2 = 2 * 2 * a * a * b * b Second term = 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…

## If ( a / 2 ) = ( b / 3 ) = ( c / 4 ) = ( 2a – 3b + 4c ) / ( p ), then find p. ( WBBSE – 2019 )

If ( a / 2 ) = ( b / 3 ) = ( c / 4 ) = ( 2a – 3b + 4c ) / ( p ), then find p. Given : ( a / 2 ) = ( b / 3 ) = ( c / 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…

## Middle Term Factorisation

Level – 01 1 ) Factorise : x2 + 7x + 12 Solution : x2 + 7x + 12 = x2 + (4 + 3 ) x + 12 = x2 + 4x + 3x + 12 = x ( x + 4 ) + 3 ( x + 4 ) = ( x 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…