Value of the roots of the quadratic equation, x2 – x – 6 = 0 are_____.

3, -2x2 – 3x + 2x – 6 = 0⇒ x(x – 3) + 2(x – 3) = 0⇒ (x – 3)(x + 2) = 0⇒ x = 3 and x = -2

Q13 of 40 Page 1

Value of the roots of the quadratic equation, x² – x – 6 = 0 are_____.

3, -2

x² – 3x + 2x – 6 = 0

⇒ x(x – 3) + 2(x – 3) = 0

⇒ (x – 3)(x + 2) = 0

⇒ x = 3 and x = -2

The value of (tan²60° + sin²45°) is_______.

The corresponding sides of two similar triangles are in the ratio 3 : 4, then the ratios of the area of triangles is_______.

The area of triangle formed with the origin and the points(4, 0) and (0, 6) is______.

The co-ordinate of the point dividing the line segment joining the points A(1, 3) and B(4, 6) in the ratio 2 : 1 is______.

The value of is _____