The point (-a,-b). (0,0), (a, b) and (a2, ab) are:
Collinear
Vertices of a parallelogram
Vertices of a rectangle
None of these
The straight lines x+y =0, 3x +y-4=0,x+3y-4=0 form a triangle which is
isosceles
equilateral
right angled
none of these
If P=(1,0), Q=(-1,0) and R=(2,0) are three given points, then locus of the point S satisfying the relation SQ2+ SR2 =2SP2, is
A straight line parallel to x-axis
A circle passing through the origin
A circle with the centre at the origin
A straight line parallel to y-axis
Let PQR be a right angled isosceles triangle, right angled at P(2,1). If equation of the line QR is 2x+ Y=3, then the equation representing the pair of lines PQ and PR is
3x2-3y2+8xy+20x+10y+25=0
3x2-3y2+8xy-20x+10y+25=0
3x2-3y2+8xy+10x+15y+20=0
3x2 -3y2-8xy-10x-15y-20=0
If x1, x2, x3 as well as y1, y2, y3, are in G.P. with the same common ratio, then the points (x1,y1), (x2,y2) and (x3, y3).
Lie on a straight line
lie on an ellipse
lie on a circle
are vertices of a triangle
If (P(1,2), Q(4,6), R(5,7) and S(a, b) are the vertices of a parallelogram PQRS, then
a=2, b=4
a=3, b=4
a=2, b=3
a=3, b=5
The diagonals of a parallelogram PQRS are along the lines x +3y=4 and 6x –2y=7. Then PQRS must be a.
rectangle
square
Cyclic quadrilateral
Rhombus.
If the vertices P, Q, R of a triangle PQR are rational points, which of the following points of the triangle PQR is always rational point(s)?
Circumcentre
incentre
centre
Orthocentre
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
none of these