JEE Questions for Maths Rectangular Cartesian Coordinates Quiz 5 - MCQExams.com


Maths-Rectangular Cartesian Coordinates-46687.png
  • An equilateral triangle
  • An isosceles triangle
  • A right angled triangle
  • None of these
The points (3a, 0), (0, 3b) and (a,2b) are
  • Vertices of an equilateral triangle
  • Vertices of an isosceles triangle
  • Vertices of a right-angled isosceles triangle
  • Collinear
A triangle with vertices (4,, (–1,–1), (3,is
  • Isosceles and right – angled
  • Isosceles but not right – angled
  • Right angled but not isosceles
  • Neither right-angled nor isosceles

Maths-Rectangular Cartesian Coordinates-46690.png
  • Equilateral
  • Right – angled
  • Isosceles
  • None of the above
The points A(–4, –, B(–2, –, C(4,and D(2,are the vertices of
  • Parallelogram
  • Rectangle
  • Rhombus
  • None of these
If vertices of any quadrilateral are (0, –1), (2,, (0,and (–2,1), then it is a
  • Parallelogram
  • Square
  • Rectangle
  • Collinear
If the vertices of a triangle be (a,b – c) , (b,c – a) and (c,a – b), then the centroid of the triangle lies
  • At origin
  • On x-axis
  • On y-axis
  • None of these
If the vertices of a triangle be ((a,1), (b,and (4,c)) then the centroid of the triangle will lie on x-axis , if
  • a + c = –4
  • a + b = –4
  • c = –4
  • b + c = –4
The vertices of triangle are (6,, (0,and (6,. The distance between its circumcentre and centroid is
  • 1
  • 2)
    Maths-Rectangular Cartesian Coordinates-46696.png
  • 2

  • Maths-Rectangular Cartesian Coordinates-46697.png
If two vertices of a triangle are (6,, (2,and its centroid is (4,6), then the third vertex is
  • (4,8)
  • (8,4)
  • (6,4)
  • None of these
Orthocentre of the triangle formed by the lines x + y = 1 and xy = 0 is
  • (0,0)
  • (0,1)
  • (1,0)
  • (-1,1)
If the co-ordinates of the points A,B,C be (4,4), (3,–and (3,–respectively, then the area of the triangle ABC is
  • 27
  • 15
  • 18
  • 7
The area of the triangle formed by the lines 7x – 2y + 10 = 0, 7x + 2y – 10 = 0 and y + 2 = 0 is
  • 8 sq.unit
  • 12 sq.unit
  • 14 sq.unit
  • None of these
The area of the triangle whose vertices (1,0), (7,and (4,and (4,is
  • 8
  • 10
  • 12
  • 14
P(2,1), Q(4,-1), R(3,are the vertices of triangle and if through P and R lines parallel to opposite sides are drawn to intersect in S, then the area of PQRS is
  • 6
  • 4
  • 8
  • 12
The vertices of the triangle ABC are (2,, (4,and (2,5). D,E,F are the mid-points of the sides . The area of the triangle DEF is
  • 1
  • 1.5
  • 3
  • 4
If the area of the triangle with vertices (x,0), (1,and (0,is 4 sq. units , then a value of x is
  • –2
  • –4
  • –6
  • 8
One possible condition for the three points (a,b) (b,a) and (a2 – b2) to be collinear is
  • a – b = 2
  • a + b = 2
  • a = 1 + b
  • a = 1 – b
The orthocentre of the triangle formed by the lines x + y = 1, 2x + 3y = 6 and 4x – y + 4 = 0 lies in quadrant
  • First
  • Second
  • Third
  • Fourth
If equation of three sides of a triangle are x = 2, y + 1 = 0 and x + 2y = 4, then co-ordinates of circumcentre of this triangle are
  • (4,0)
  • (2,–1)
  • (0,4)
  • (–1,2)
The circumcentre of a triangle formed by the line xy + 2x + 2y + 4 = 0 and x + y + 2 = 0 is
  • (–1, –1)
  • (0, –1)
  • (1,1)
  • (–1,0)
The new co-ordinate of a point (4,5), when the origin is shifted to the point (1,-are
  • (5,3)
  • (3,5)
  • (3,7)
  • None of these
The locus of a point P which moves in such a way that the segment OP, where O is the origin , has slope √3 is

  • Maths-Rectangular Cartesian Coordinates-46714.png
  • 2)
    Maths-Rectangular Cartesian Coordinates-46715.png

  • Maths-Rectangular Cartesian Coordinates-46716.png

  • Maths-Rectangular Cartesian Coordinates-46717.png
If the co-ordinates of a point be given by the equation x = a(1-cos θ) , y = a sin θ , then the locus of the point will be
  • A straight line
  • A circle
  • A parabola
  • An ellipse
A point moves in such a way that the sum of square of its distance from the points A(2,and B (-2,is always equal to the square of the distance between A and B .The locus of the point is

  • Maths-Rectangular Cartesian Coordinates-46720.png
  • 2)
    Maths-Rectangular Cartesian Coordinates-46721.png

  • Maths-Rectangular Cartesian Coordinates-46722.png

  • Maths-Rectangular Cartesian Coordinates-46723.png
A point moves so that its distance from the point (-1,is always three times its distance from the point (0,2). The locus of the point is
  • A line
  • A circle
  • A parabola
  • An ellipse
The locus of a point which moves so that its distance form x-axis is double of its distance from y-axis is
  • x = 2y
  • y = 2x
  • x = 5y + 1
  • y = 2x + 3
The locus of a point which moves so that it is always equidistant from the point A(a,and B (–a,is
  • A circle
  • Perpendicular bisector of the line segment AB
  • A line parallel to x-axis
  • None of these
If the co-ordinates of a point be given by the equations x = b sec ϕ, y = a tan ϕ , then its locus is
  • A straight line
  • A circle
  • An ellipse
  • A hyperbola
The equation of the locus of all points equidistant from the point (4,and the x-axis , is
  • x2 + 8x + 4y – 20 = 0
  • x2 – 8x – 4y + 20 = 0
  • y2 – 4y – 8x + 20 = 0
  • None of these
0:0:1


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