Q13 of 40 Page 1

The value of sin 60° cos 30° + sin 30° cos 60° is _______

We know

⇒ sin (A + B) = sin A cos B + sin B cos A

Substituting A = 60° and B = 30°,

⇒ sin 90° = sin 60° cos 30° + sin 30° cos 60°

= 1

The point which divides the line segment joining the points A(0, 5) and B(5, 0) internally in the ratio 2 : 3 is ___________

The pair of lines represented by the equations 2x + y + 3 = 0 and 4x + ky + 6 = 0 will be parallel if value of k is _________

If the quadratic equation x² – 2x + k = 0 has equal roots, then value of k is ______

Value of cos 0° . cos 30° . cos 45° . cos 60° . cos 90° is ______

The sides of two similar triangles are in the ratio 2: 3, then the areas of these triangles are in the ratio _______