1) 3/5 2) 1/5 3) 2/5 4) 2/3 Solution: (1) ⅗ \(\begin{array}{l}\begin{array}{l} \cos ^{2} \theta+\cos ^{2} \theta+\cos ^{2} \beta=1 \\... View Article
1) √38 units 2) 7 units 3) √155 units 4) 13 units Solution: (2) 7 units \(\begin{array}{l}\text \ Length \... View Article
1) (6 / 7), (2 / 7), (3 / 7) 2) (2 / 7), (3 / 7), (- 6 /... View Article
1) 50 2) 12 3) 5√2 4) None of these Solution: (3) 5√2 Let d be the length of line,... View Article
1) cos-1 (1/65) 2) π/6 3) π/3 4) π/2 Solution: (3) π/3 \(\begin{array}{l}\text \ The \ direction \ ratios \... View Article
1) 7/9 2) 2/9 3) 4/9 4) 5/9 Solution: (3) 4/9 \(\begin{array}{l}\text \ Direction \ Ratios \ of \ Direction... View Article
1) π/2 2) π/6 3) π/4 4) π/3 Solution: (4) π/3 \(\begin{array}{l}1+\mathbf{m}+\mathbf{n}=\mathbf{0}\\ \Rightarrow 1+\mathbf{n}=-\mathbf{m} \ldots (i)\\ 1^{2}-5 m^{2}+n^{2}=0\\ \text \... View Article
1) (-11, 3, 8) 2) (-11, 3, -8) 3) (-8, 12, 20) 4) (13, 6, -13) Solution: (1) (-11, 3,... View Article
1) 3 2) 13 3) 14 4) 12 5) 5 Solution: (2) 13 (x, y, z) = (3, 12, 5)... View Article
1) cos-1 (1/3) 2) sin-1 (2/3) 3) cos-1 (2/3) 4) sin-1 (1/3) 5) sin-1 (3/5) Solution: (3) cos-1 (2/3) The... View Article
1) 2i + j + 2k 2) 2i – j + 2k 3) i – 2j + 2k 4) i... View Article
1) cos-1 (1 / 3) 2) 30o 3) cos-1 (1 / √3) 4) 45o Solution: (1) cos-1 (1 / 3)... View Article
1) √a2 + b2 2)√b2 + c2 3) a 4) √a2 + c2 Solution: (2)√b2 + c2 Let (a, 0,... View Article
1) π/3 2) π/4 3) π/6 4) π/2 Solution: (1) π/3 \(\begin{array}{l}\begin{array}{l} l+m+n=0, \Rightarrow l=-m-n \text { and } l^{2}+m^{2}... View Article
CNA 9th June 2021:- Download PDF Here TABLE OF CONTENTS A. GS 1 Related B. GS 2 Related POLITY AND... View Article
June 8th, 2021, PIB:- Download PDF Here TABLE OF CONTENTS 1. E-Content for Children with Disabilities 2. India Plastic Challenge... View Article
AIR Spotlight is an insightful programme featured daily on the All India Radio Newsonair. In this program, many eminent panelists... View Article
Rajya Sabha TV programs and discussions are very insightful and informative from a UPSC perspective. In this article, we provide... View Article
The Outer Space Treaty, formally the Treaty on Principles Governing the Activities of States in the Exploration and Use of... View Article
Black carbon is in the news off late with studies showing it is contributing to air pollution majorly. It is... View Article
