JEE Questions for Maths Rectangular Cartesian Coordinates Quiz 6 - MCQExams.com

If A and B are two fixed points and P is a variable point such that PA + PB = 4, then the locus of P is a/an
  • Parabola
  • Ellipse
  • Hyperbola
  • None of these
If A and B are two points in a plane, so that PA – PB = constant, then the locus of P is
  • Hyperbola
  • Circle
  • Parabola
  • Ellipse
If A and B are two fixed points in a plane and P is another variable point such that PA2 + PB2 = constant, then the locus of the point P is
  • Hyperbola
  • Circle
  • Parabola
  • Ellipse
ABC is an isosceles triangle. If the co-ordinates of the base are B(1,and C(-2,7), the co-ordinates of vertex A can be
  • (1,6)
  • 2)
    Maths-Rectangular Cartesian Coordinates-46729.png

  • Maths-Rectangular Cartesian Coordinates-46730.png
  • None of these

Maths-Rectangular Cartesian Coordinates-46732.png
  • A.M. of CA and CB
  • G.M. of CA and CB
  • H.M. of CA and CB
  • None of these
The point of trisection of the line joining the points (0,and (6,-are
  • (2,and (4,-1)
  • (2, -and (4,1)
  • (3,and (4,-1)
  • (2,and (4,-1)
The line y = x meets y = kex for k ≤ 0 at
  • No point
  • One point
  • Two points
  • More than two points
Point Q is symmetric to P(4, - with respect to the bisector of the first quadrant. The length of PQ is

  • Maths-Rectangular Cartesian Coordinates-46736.png
  • 2)
    Maths-Rectangular Cartesian Coordinates-46737.png

  • Maths-Rectangular Cartesian Coordinates-46738.png

  • Maths-Rectangular Cartesian Coordinates-46739.png
A stick of length l rests against the floor and a wall of a room. If the stick begins to slide on the floor, then the locus of its middle point is
  • A straight line
  • Circle
  • Parabola
  • Ellipse
If the vertices of a triangle have integral co-ordinates, then the triangle is
  • Equilateral
  • Never equilateral
  • Isosceles
  • None of these
The vertices of a rectangle ABCD are A(-1,0), B(2,0), C(a,b) and D(-1,4). Then the length of the diagonal AC is
  • 2
  • 3
  • 4
  • 5
  • 6
If the point (x,y) be equidistant from the points (a + b,b – a) and (a – b,a + b), then
  • ax + by = 0
  • ax – by = 0
  • bx + ay = 0
  • bx – ay = 0
If the points (0,(2,2√are (a,b) be the vertices of an equilateral triangle, then (a,b) =
  • (0, –4)
  • (0,4)
  • (4,0)
  • (–4,0)
The distance between the points (a cos α, a sin α) and (a cos β , a sin β) is

  • Maths-Rectangular Cartesian Coordinates-46746.png
  • 2)
    Maths-Rectangular Cartesian Coordinates-46747.png

  • Maths-Rectangular Cartesian Coordinates-46748.png

  • Maths-Rectangular Cartesian Coordinates-46749.png
The point on y-axis equidistant from the point (3,and (–1,is
  • (0,–3)
  • 2)
    Maths-Rectangular Cartesian Coordinates-46751.png

  • Maths-Rectangular Cartesian Coordinates-46752.png
  • (0,3)
ABC is a triangle , G is the centroid. D is the mid point of BC. If A = (2,and G = (7,5), then the point D is

  • Maths-Rectangular Cartesian Coordinates-46754.png
  • 2)
    Maths-Rectangular Cartesian Coordinates-46755.png

  • Maths-Rectangular Cartesian Coordinates-46756.png

  • Maths-Rectangular Cartesian Coordinates-46757.png
The mid point of the line joining the points (-10,and (-6,divides the line joining the points (4,-and (-2,is the ratio
  • 1 : 2 internally
  • 1 : 2 externally
  • 2 : 1 internally
  • 2 : 1 externally
  • 2 : 3 externally
The point dividing the line through two points (–1,–and (3,in the ratio 3 : 5 internally lies on the line
  • 4( x + y ) = 3
  • x + y = 3
  • 4x + 4y = 1
  • None of these

Maths-Rectangular Cartesian Coordinates-46761.png
  • RS
  • ST
  • PQ
  • QR
If the point dividing internally the line segment joining the points (a,b) and (5,in the ratio 2 : 1 be (4,6), then
  • a = 1,b = 2
  • a = 2,b = -4
  • a = 2,b = 4
  • a = -2,b = 4
If the middle point of the line segment joining the points (5,a) and (b,be (3,5), then (a,b) =
  • (3,1)
  • (1,3)
  • (–2, –2)
  • (–3, –1)
If C is a point on the line segment joining A(-3,and B(2,such that AC = 2 BC, then the co-ordinate of C is

  • Maths-Rectangular Cartesian Coordinates-46765.png
  • 2)
    Maths-Rectangular Cartesian Coordinates-46766.png
  • (2,7)
  • (7,2)
The mid-points of sides of a triangle are (2,1), (–1,–and (4,. Then the co-ordinates of its vertices are
  • (7., (–3,–, (1,
  • (–3,–, (1,, (2,3)
  • (1,(2,, (–5 , 8)
  • None of the above

Maths-Rectangular Cartesian Coordinates-46769.png
  • 1 : 3 internally
  • 3 : 1 internally
  • 1 : 3 externally
  • 3 : 1 externally
The co-ordinates of the join of trisection of the points (–2,, (3,–nearer to (–2,3), is

  • Maths-Rectangular Cartesian Coordinates-46771.png
  • 2)
    Maths-Rectangular Cartesian Coordinates-46772.png

  • Maths-Rectangular Cartesian Coordinates-46773.png

  • Maths-Rectangular Cartesian Coordinates-46774.png
If the vertices of a triangle are A(1,4), B(3,and C(2,1), then the length of the median passing through C is
  • 1
  • 2

  • Maths-Rectangular Cartesian Coordinates-46776.png

  • Maths-Rectangular Cartesian Coordinates-46777.png
P and Q are points on the line joining A(-2 ,and B(3,such that AP = PQ = QB . Then the mid-point of PQ is

  • Maths-Rectangular Cartesian Coordinates-46779.png
  • 2)
    Maths-Rectangular Cartesian Coordinates-46780.png
  • (2,3)
  • (1,4)
The co-ordinates of the point dividing internally the lines joining the points (4,-and (8,in the ratio 7 : 5 will be
  • (16, 18)
  • (18,16)

  • Maths-Rectangular Cartesian Coordinates-46782.png

  • Maths-Rectangular Cartesian Coordinates-46783.png
(0,–and (0,are two opposite vertices of a square. The other two vertices are
  • (0,, (0,–3)
  • (3,–, (0,0)
  • (2,1), (–2,1)
  • (2,(1,1)
If the distance between (2,and (–5,is equal to the distance between (x,and (1,, then the values of x
  • –6,8
  • 6,8
  • –8,6
  • –7,7
  • –8,–6
0:0:1


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