Question
Who was the first Indian woman to swim across the
English Channel?Solution
Arati Gupta (previously Arati Saha) achieved this historic feat on 29 September 1959, becoming the first Asian woman to conquer the English Channel and was honored with the Padma Shri in 1960 for her remarkable achievement.
- If the quadratic equation x² + 18x + n = 0 has real and equal roots, what is the value of n?
I. 8x2 - 2x – 15 = 0
II. 12y2 - 17y – 40 = 0
I. 8x² - 78x + 169 = 0
II. 20y² - 117y + 169 = 0
l. p2 - 3p - 54 = 0
II. q2 - 19q + 90 = 0
I. 10x² - 11x + 3 = 0
II. 42y² - 23y – 10 = 0
I. x2 – 3(x + 5) = -11
II. y2 – 4(y + 2) = -2y
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 5x + 6 = 0
Equation 2: y² - 7y + 12 = 0
Find the remainder when x⁵ − 3x⁴ + 4x³ − 6x² + 8x − 3 is divided by (x − 2).
I). p2 + 17p - 234 = 0
II). q2 - 21q + 108 = 0
I. 2x² + 11 x + 15 = 0
II. 2y² - 19 y + 44 = 0