In △ ABC, ∠ A = 90°. M is the midpoint of BC and D is a point on BC such that AD Ʇ BC. If AB = 7 cm and AC = 24 cm. then AD: AM is equal to:
In right angled ∆ABC, 90° at A BC = AB + AC = 7 + 24 = 49 + 576 = 625 ⇒ BC = √625 = 25 If, M is the midpoint of BC, then AM = MC = BM = 25/2 As we know, AD × BC = AB × AC ⇒ AD × 25 = 7 × 24 ⇒ AD = (7 × 24)/25 ∴ Ratio of AD : AM = (7 × 24)/25 : 25/2 = 336 : 625
I. x³= ((4)5+ (15)³)/(3)4
II. 8y³=(-13)3÷ √1521+ (3y)³
I. x2 + 12√2 x + 22 = 0
II. y2 - 13√2 y – 28 = 0
What is the speed of the stream if a ship takes 15 hours to travel 240 km in calm waters, given that the ratio of its speed against the current to its s...
I. 2y² - 3y – 14 = 0
II. 3x² - 7x + 4 = 0
I. 2x² - 11x + 12 = 0
II. 12y² + 29y + 15 = 0
I. 3x² - 22 x + 40 = 0
II. 4y² + 22y + 24 = 0
I. 3y2 + 13y - 16 = 0
II. 3x2 – 13x + 14 = 0
I. 84x² - 167x - 55 = 0
II. 247y² + 210y + 27 = 0
I. 6x² + 37x + 45 = 0
II. 3y² - 11y + 6 = 0
I.√(3x-17)+ x=15
II. y+ 135/y=24
