Category Archives: Mathematics
Crocodile Teeth Arrangements
Largest Value of Non-Negative Integer $$a$$
The largest value of the nonnegative integer a for which
is
[JEE Advanced 2014]
Continue reading Largest Value of Non-Negative Integer $$a$$
Tangents to Curve $$y = \int\limits_0^x {|t|dt}$$
The intercepts on x-axis made by tangents to the curve, 
, which are parallel to the line y = 2x, are equal to:
(1) 
(2) 
(3) 
(4) 
[JEE Main 2013]
Continue reading Tangents to Curve $$y = \int\limits_0^x {|t|dt}$$
Vectors \(\vec {AB} = 3\hat i + 4\hat k\) and \(\vec {AC} = 5\hat i – 2\hat j + 4\hat k\)
If the vectors 
and 
are the sides of a triangle ABC, then the length of the median through A is:
(1) 
(2) 
(3) 
(4) 
[JEE Main 2013]
Evaluate \(\int {\left\{ {{{\left( {\frac{x}{e}} \right)}^x} + {{\left( {\frac{e}{x}} \right)}^x}} \right\}} \ln xdx\)
Area Between y = sin x + cos x and y = |cos x – sin x|
Only one option is correct.
[JEE Advanced 2013]
Continue reading Area Between y = sin x + cos x and y = |cos x – sin x|