1
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
If the $${2^{nd}},{5^{th}}\,and\,{9^{th}}$$ terms of a non-constant A.P. are in G.P., then the common ratio of this G.P. is :
A
1
B
$${7 \over 4}$$
C
$${8 \over 5}$$
D
$${4 \over 3}$$
2
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
If the sum of the first ten terms of the series $${\left( {1{3 \over 5}} \right)^2} + {\left( {2{2 \over 5}} \right)^2} + {\left( {3{1 \over 5}} \right)^2} + {4^2} + {\left( {4{4 \over 5}} \right)^2} + .......is\,{{16} \over 5}m,$$ then m is equal to :
A
100
B
99
C
102
D
101
3
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
Two sides of a rhombus are along the lines, $$x - y + 1 = 0$$ and $$7x - y - 5 = 0$$. If its diagonals intersect at $$(-1, -2)$$, then which one of the following is a vertex of this rhombus?
A
$$\left( {{{ 1} \over 3}, - {8 \over 3}} \right)$$
B
$$\left( - {{{ 10} \over 3}, - {7 \over 3}} \right)$$
C
$$\left( { - 3, - 9} \right)$$
D
$$\left( { - 3, - 8} \right)$$
4
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The centres of those circles which touch the circle, $${x^2} + {y^2} - 8x - 8y - 4 = 0$$, externally and also touch the $$x$$-axis, lie on :
A
a circle
B
an ellipse which is not a circle
C
a hyperbola
D
a parabola
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