Question
Which river originates from Rakshas Tal (Rakes
Lake)?Solution
- The Sutlej originates near Mount Kailash (Tibet) from Rakshas Tal.
- It feeds the Bhakra Dam and is the longest of Punjab’s five rivers.
- Beas starts at Beas Kund, Chenab from Chandra-Bhaga, and Jhelum from Verinag.
If x ,y,z are three integers such that x +y = 8,y +z =13 and z +x =17,then the value of x2 /yz  is:
If, 2x + y = 13, and 2xy = 12, and 2x > y, then find the value of 8x³ – y³.
A carriage travelling in fog passed along a man who was walking @ 6 km/hr in the same direction. He could see the carriage for 8 minutes and it was visi...
If (a + b + c) = 9, find (a – 4)3 + (b – 2)3 + ( c – 3)3 – 3(a – 4 ) (b – 2 ) (c &n...
If (5x + 2)3 + (x – 1)3 + 8(3x – 7)3 = 6(5x + 2) × (x – 1) × (3x – 7), then the value of (5x + 3) isÂ
...If x2 – 5x + 1 = 0, then find the value of {x2 + (1/x2)}.
For which value of k does the quadratic equation
x² − 4(k + 1)x + (3k² + 8k + 4) = 0
have equal real roots?
x + y = 4, xy = 2, y + z = 5, yz = 3, z + x = 6 and xz =4, then find the value of x 3  + y 3  + z 3  – 3xyz.
...Which of the following statements is correct?
I. If x = 12, y = –2 and z = –10, then x³ + y³
+ z³ = 720
II. If x + y = 48 an...
If a = 701, b= 703 and c= 706, then find the value of a³ + b³ +c³ –3abc?
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