A straight line through the origin O meets the parallel lines 4x + 2y =9 and 2x +Y=6=0 at point P and Q respectively. Then the point O divides the segment PQ in the ratio
1: 2
3: 4
2: 1
4: 3
The number of intergral points (integral point means both the coordinates should be integer) exactly in the interior of the triangle with vertices (0,0),(0,21) and (21,0), is
133
190
233
105
/
an ellipse
a hyperbola
a circle
None of these
If x =9 is the chord of contact of the hyperbola x2 –y2 =9, then the equation of the corresponding pair of tangents is
9x2 -8y2 + 18x -9 =0
9x2 -8y2 + 18x +9 =0
9x2 -8y2 - 18x -9 =0
9x2 -8y2 - 18x +9 =0
The curve described parametrically by x =t2 + t +1, y= t2 –t +1 represents
a pair of straight lines
an ellipse
a parabola
a hyperbola
Normal type of MCQ with one correct option
The point which divides the joint of (1, 2) and (3, 4) externally in the ratio 1 : 1
lies in the first quadrant
lies in the second quadrant
lies in third quadrant
cannot be found
Normal type of MCQ with one correct option
If the origin is one end of the diameter of a circle whose centre is ((1, 2), then the other end of the diameter is
(1, (2)
((1, (2)
((2, 4)
(2, (4).
Normal type of MCQ with one correct option
The distance of the point (x, y) from Y-axis is
x
y
( x (
( y (
A.P.
G.P.
H.P.
none of these
none of these