Question
The value of (sin 60 º cos 30 º - cos 60 º sin 30
º)  is equal to:Solution
(sin 60 º cos 30 º - cos 60 º sin 30 º) = √3/2 x √3/2 – 1/2 x 1/2 = 2/4 = 1/2 Alternate Solution sin A cos B - cos A sin B = sin (A - B) So, (sin 60 º cos 30 º - cos 60 º sin 30 º) = sin ( 60 º - 30 º) = sin 30 º = 1/2 Â
How many values of x and y satisfy the equation 2x + 4y = 8 & 3x + 6y = 10.
(i) 2x² – 12x + 16 = 0
(ii) 2y² – 20y + 48 = 0
I. 5x + y = 37
II. 4y+ x = 15
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y.
I. x
I. p²= ∛1331
II. 2q² - 21q + 55 = 0
I. 35x² - 24x – 35 = 0
II. 72y² - 145y + 72 = 0
I. (2x-3)3+  1/((2x-3)³)=2Â
II.  4y²+(y+8)^2= 157
I. 8x² + 2x – 3 = 0
II. 6y² + 11y + 4 = 0
I. x2 – 19x + 88 = 0
II. (y + 4)2 = 121
The following question contains two equations as I and II.You have to solve both equations and determine the relationship between them.
I). a² -...