Question
In each of the questions given below, four words are
given in bold. These four words may or may not be in their correct position. The sentence is then followed by options with the correct combination of words that should replace each other in order to make the sentence grammatically and contextually correct. Find the correct combination of words that replace each other. The scientist's groundbreaking (A) discovery, rooted in meticulous (B) experimentation and frontiers (C) thinking, opened a portal to new innovative (D) of knowledge.Solution
The correct sentence: "The scientist's groundbreaking (A) discovery, rooted in meticulous (B) experimentation and innovative (C) thinking, opened a portal to new frontiers (D) of knowledge."
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 97x² - 436x + 339 = 0
Equation 2: 103y² - 460y + 357 = 0
I. 10p² + 21p + 8 = 0
II. 5q² + 19q + 18 = 0
I. 2x² + 11 x + 15 = 0
II. 2y² - 19 y + 44 = 0
- For what value of a does the quadratic equation x² + ax + 81 = 0 have real and identical roots?
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 20x + 96 = 0
Equation 2: y² - 18y + 72 = 0
I. 4x² - 21x + 20 = 0
II. 8y² - 22y + 15 = 0
Solve: x² − 7x + 12 = 0
Find the remainder when x⁵ − 3x⁴ + 4x³ − 6x² + 8x − 3 is divided by (x − 2).
If α, β are the roots of the equation x² – px + q = 0, then the value of α2+β2+2αβ is
...In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y.
I. x
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