1
JEE Main 2015 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
If m is the A.M. of two distinct real numbers l and n $$(l,n > 1)$$ and $${G_1},{G_2}$$ and $${G_3}$$ are three geometric means between $$l$$ and n, then $$G_1^4\, + 2G_2^4\, + G_3^4$$ equals:
A
$$4\,lm{n^2}$$
B
$$4\,{l^2}{m^2}{n^2}$$
C
$$4\,{l^2}m\,n$$
D
$$4\,l\,{m^2}n$$
2
JEE Main 2015 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
The number of points, having both co-ordinates as integers, that lie in the interior of the triangle with vertices $$(0, 0)$$ $$(0, 41)$$ and $$(41, 0)$$ is :
A
820
B
780
C
901
D
861
3
JEE Main 2015 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
Locus of the image of the point $$(2, 3)$$ in the line $$\left( {2x - 3y + 4} \right) + k\left( {x - 2y + 3} \right) = 0,\,k \in R,$$ is a :
A
circle of radius $$\sqrt 2 $$.
B
circle of radius $$\sqrt 3 $$.
C
straight line parallel to $$x$$-axis
D
straight line parallel to $$y$$-axis
4
JEE Main 2015 (Offline)
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The number of common tangents to the circles $${x^2} + {y^2} - 4x - 6x - 12 = 0$$ and $${x^2} + {y^2} + 6x + 18y + 26 = 0,$$ is :
A
$$3$$
B
$$4$$
C
$$1$$
D
$$2$$
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