AB = CD = 12cm Radius r = 13/2 cm = 6.5cm In ∆OMB, OB² = OM² + MB² ⇒ r² = OM² + (6)² ⇒ (6.5)² = OM² + (6)² ⇒ OM² = 42.25 – 36 = 6.25 ⇒ OM = 2.5 Distance between parallel lines, MN = 2 × OM = 2 × 2.5 = 5cm
I. 195x² - 46x - 21 = 0
II. 209y² + 7y - 12 = 0
I. 4x2 + 9x - 9 = 0
II. 4y2 - 19y + 12 = 0
I. 6x2 – 7x - 20 = 0
II. 3y2 - y - 14 = 0
I). p2 + 17p - 234 = 0
II). q2 - 21q + 108 = 0
I. 15y2+ 4y – 4 = 0
II. 15x2+ x – 6 = 0
Quantity I: The cash price of a notebook is Rs. 100 but is can also be purchased on 11 monthly equal instalments of Rs. 10 each. Find rate of S.I.?
...Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 24x + 135 = 0
Equation 2: y² - 26y + 153 = 0
I. 4x² - 21x + 20 = 0
II. 8y² - 22y + 15 = 0
I. 18p²- 21p + 6 = 0
II. 16q² - 24q +9 = 0
(i) 2x² – 9x + 10 = 0
(ii) 4y² – 12y + 9 = 0
