Question
The square of the sum of two numbers is 900 and the sum
of squares of the same numbers is 500. Find the product of the two numbers.Solution
Let the two numbers be 'a' and 'b' ATQ: (a + b)² = 900 So, a² + b² + 2ab = 900 Also, we have, a² + b² = 500 So, 2ab = 900 - 500 = 400 So, ab = (400 ÷ 2) = 200
Find the area between the lines 18x +12y = 108, 9x  + 6y  = 27, x - axis and y -axis.Â
If 0.4x + 0.6y = 26 and x - y = 10, find x.
For which value of m, there is no solution to the equation -
a – b = 5
ma – 4b = 1
I. p2 – 5p + 6 = 0                 Â
II. 36q2 = 81
...I. 8/(√x) + 6/(√x) = √x
II. y ³- (14)7/2 /(√y) = 0
If 2x + 3y = 27 and 3x - y = 13, find (x + y).
A line passes through the points (2, 3) and (5, −3). Find its equation.
Find the value of 'a' and 'b' which satisfy the following equations:
9a + 7b = 30
4a - 5b = 62
If, x - y radic; 3 = 23 and radic; 3x + y = 35
Find the angle between both the lines when they intersect each other.
...The slope of the equation 24x+ 8y =56 is
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