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08 Jan 2021: The Hindu Analysis

UPSC Current Affairs Preparation: The Hindu Analysis Watch expert analysis of ‘The Hindu’ dated 08th January 2021. Important news and views to... View Article

UPSC Mains 2020 Essay Paper

The UPSC Mains 2020 kicked off on January 8, 2021, with the Essay Paper. The Essay Paper is counted for merit ranking in the UPSC scheme of... View Article

Let A 2ij2k And Bij If C Is A Vector Such That Acc Ca2 2 And The Angle Between Axb And C Is 30

1) 2/3 2) 3/2 3) 2 4) 3 Answer: (2) 3/2 Solution: Let a = 2i+j-2k and b=i+j. = √9 = 3 Since, |c - a| = 2√2 |c - a|2 = 8 |c|2 +... View Article

For Any Vector A Which Is The Value Of A X I2 A X J2 A X K2

1) |a|2 2) 2|a|2 3) 3|a|2 4) 4|a|2 Answer: (2) 2|a|2 Solution: Vector a = a1i+a2j+a3k... View Article

The Area Of The Parallelogram Whose Adjacent Sides Are 2i 3k And 4j 2k Is

1) 2√14 2) 4√14 3) 16√14 4) √14 Answer: (2) 4√14 Solution: Suppose, a=2i−3k,b=4j+2k = 12i−4j+8k=4(3i−j+2k) Therefore, area of... View Article

If The Scalar Projection Of The Vector Xijk On The Vector 2ij5k Is 1 Root30 Then The Value Of X Is

1) –5/2 2) 6 3) –6 4) 3 Answer: (1) -5/2 Solution: Scalar projection of the vector xi+j+k on the vector 2i-j+5k: x=-5/2... View Article

If A B And C Are Three Unit Vectors Such That A B C 0 Where 0 Is Null Vector Then Ab Bc Ca Is Equal To

1) -3 2) -2 3) -3/2 4) 0 Answer: (3) -3/2 Solution:... View Article

Let Ai2jk Bijk And Cijk A Vector Coplanar To A And B Has A Projection Along C Of Magnitude 1 Root 3

1) 4i-j+4k 2) 4i+j-4k 3) 2i+j+k 4) None of these Answer: (1) 4i-j+4k Solution: Given, three vectors a=i+2j+k, b=i-j+k and c=i+j-k Let r... View Article

When The Projection Of Vector Aij4k On Vector B2i6j3k Is 4 Units The Value Is

1) 0 2) 10 3) 5 4) 3 Answer: (3) 5 Solution: Given, a=λi+j+4k and b=2i+6j+3k Projection of a on b is 4 units Therefore, (a.b)/|b| = 4... View Article

Forces Of Magnitudes 5 And 3 Units Acting In The Directions 6i 2j 3k And 3i 2j 6k

1) 127/7 units 2) 148/7 units 3) 133/7 units 4) 139/7 units Answer: (1) 148/7 units Solution: F is the resultant force and vector d is the... View Article

The Sum Of The First Five Terms Of The Series 3 Plus 4 And 1 By 2 Plus 6 And 3 By 4 Will Be

(1) (2) (3) (4) Solution: = 3 + 9/2 + 27/4 +... = 3+ 3(3/2) + 3(3/2)2 + … Here a = 3, r = 3/2, n = 5 Sn =... View Article

There Are N Urns Each Containing N 1 Balls Such That The Ith Urn Contains I White Balls If Pui C Where C Is A Constant Then Punw Is Equal To

1) 2/ (n+1) 2) 1/(n+1) 3) n/(n+1) 4) 1/2 Solution: Option (1) 2/(n+1). Given that W denotes the event of getting a white balls. To... View Article

There Are N Urns Each Containing N 1 Balls Such That The Ith Urn Contains I White Balls And N 1 I Red Balls If Pui Proportional I Then Pw Is Equal To

1) 1 2) 2/3 3) 1/4 4) 3/4 Solution: Option (2) ⅔ Let P(ui) = ki , and we know that k(1+2+ 3+ …+n) = 1 K = 2/(n(n+1) P(W/ui) =... View Article

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Archives

08 Jan 2021: The Hindu Analysis

UPSC Mains 2020 Essay Paper

Let A 2ij2k And Bij If C Is A Vector Such That Acc Ca2 2 And The Angle Between Axb And C Is 30

For Any Vector A Which Is The Value Of A X I2 A X J2 A X K2

The Area Of The Parallelogram Whose Adjacent Sides Are 2i 3k And 4j 2k Is

If The Scalar Projection Of The Vector Xijk On The Vector 2ij5k Is 1 Root30 Then The Value Of X Is

If A B And C Are Three Unit Vectors Such That A B C 0 Where 0 Is Null Vector Then Ab Bc Ca Is Equal To

Let Ai2jk Bijk And Cijk A Vector Coplanar To A And B Has A Projection Along C Of Magnitude 1 Root 3

When The Projection Of Vector Aij4k On Vector B2i6j3k Is 4 Units The Value Is

Forces Of Magnitudes 5 And 3 Units Acting In The Directions 6i 2j 3k And 3i 2j 6k

The Sum Of The First Five Terms Of The Series 3 Plus 4 And 1 By 2 Plus 6 And 3 By 4 Will Be

There Are N Urns Each Containing N 1 Balls Such That The Ith Urn Contains I White Balls If Pui C Where C Is A Constant Then Punw Is Equal To

There Are N Urns Each Containing N 1 Balls Such That The Ith Urn Contains I White Balls And N 1 I Red Balls If Pui Proportional I Then Pw Is Equal To

Why Do Dielectrics Increase Capacitance

Which One Cu2plus Or Zn2plus Is Diamagnetic And Why

Does The Energy Stored In A Capacitor Increases When The Dielectric Is Removed

What Is The Effect Of Temperature On Dielectric Constant

Why Is Eddy Current Bad

Why Is Iron Used In Transformers

Is Gallium A Semiconductor