Question
Who has been appointed as the Chief Executive Officer (CEO)
of the Anusandhan National Research Foundation (ANRF)?Solution
Shivkumar Kalyanaraman, a former Microsoft executive, has been appointed as the CEO of the Anusandhan National Research Foundation (ANRF), succeeding Professor Abhay Karandikar, who served as the interim CEO. The ANRF, established through an Act of Parliament in 2023, aims to promote research and development and foster innovation across India's academic and research institutions. Prior to this appointment, Kalyanaraman held the position of Chief Technology Officer (CTO) for Energy Industry, Asia at Microsoft. He is a distinguished alumnus of IIT Madras and Ohio State University (2021) and holds numerous prestigious recognitions, including Fellow of the IEEE (2010), Fellow of Indian National Academy of Engineering (2015), and ACM Distinguished Scientist (2010).
I. x2 + 24x + 143 = 0
II. y2 + 12y + 35 = 0
I: 2x² - 8x + 6 = 0
II: 3y² - 12y + 9 = 0
I. 2x2 + 5x + 2 = 0
II. 4y2 = 1
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
I. 7p + 8q = 80
II. 9p – 5q = 57
I. 2y2 - 15y + 18 = 0
II. 2x2 + 9x - 18 = 0
I. (4x-5)3Â +Â 1/(4x-5)3Â = 2
II. 2[(y+1/y)2- 2]- 9(y+1/y)= -14
If 3x – 2y = 10 and xy = 11, the value of 27x³ – 8y³ is __________.
I. 9x2 + 45x + 26 = 0
II. 7y2 – 59y − 36 = 0
I. 35x² - 24x – 35 = 0
II. 72y² - 145y + 72 = 0