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16 questions · timed · auto-graded

MCQ 11 Mark
If $A (1,3), B (-1,2), C (2,5)$ and $D (x, y)$ are the vertices of a parallelogram ABCD , then the value of $x$ is:
  • A
    $3$
  • B
    $4$
  • C
    $0$
  • D
    $\frac{3}{2}$
Answer
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MCQ 21 Mark
The vertices of a parallelogram in order are $A (1,2), B (4, y), C (x, 6), D (3,6)$. The value of $x$ and $y$ respectively are:
  • A
    6, 2
  • B
    3, 6
  • C
    5, 6
  • D
    1, 4
Answer
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MCQ 31 Mark
The point which lies on the perpendicular bisector of the line segment joining the points $A (-2,-5)$ and $B (2,5)$ is:
  • A
    $(0,0)$
  • B
    $(0,2)$
  • C
    $(2,0)$
  • D
    $(-2,0)$
Answer
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MCQ 41 Mark
If the coordinates of one end of a diameter of a circle are $(2,3)$ and the coordinates of its centre are $(-2,5)$, then the coordinates of the other end of the diameter are:
  • A
    $(-6,7)$
  • B
    $(6,-7)$
  • C
    $(6,7)$
  • D
    $(-6,-7)$
Answer
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MCQ 51 Mark
If the mid-point of the line segment joining the points $P (6, b-2)$ and $Q (-2,4)$ is $(2,-3)$, then the value of $b=$
  • A
    -5
  • B
    -6
  • C
    -7
  • D
    -8
Answer
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MCQ 61 Mark
The ratio in which $P (m, 4)$ divides the line segment joining the points $A (2,5)$ and $B (6,-3)$ is:
  • A
    $1: 2$
  • B
    $2: 1$
  • C
    $1: 3$
  • D
    $1: 7$
Answer
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MCQ 71 Mark
In the figure, AB is a diameter of the circle with centre $O (4,5)$. If A is $(1,1)$, then $B =$
Image
  • A
    $(6,9)$
  • B
    $(7,9)$
  • C
    $(-7,9)$
  • D
    $(7,-9)$
Answer
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MCQ 81 Mark
The mid-point of the line segment joining the points $(-5,7)$ and $(-1,3)$ is :
  • A
    $(-3,7)$
  • B
    $(-3,5)$
  • C
    $(-1,5)$
  • D
    $(5,-3)$
Answer
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MCQ 91 Mark
If $A \left(\frac{m}{2}, 5\right)$ is the mid-point of the line segment joining the points $Q (-6,7)$ and $R (-2,3)$, then the value of $m$ is :
  • A
    -8
  • B
    -4
  • C
    12
  • D
    -6
Answer
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MCQ 101 Mark
The ratio in which the point $P (4, m)$ divides the line segment joining the points $A (2,3)$ and $B (6,-3)$ is :
  • A
    $1: 2$
  • B
    $2: 1$
  • C
    $1: 3$
  • D
    $1: 1$
Answer
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MCQ 111 Mark
The fourth vertex D of a parallelogram ABCD whose three vertices are $A (-2,3), B (6,7)$ and $C (8,3)$ is:
  • A
    $(0,1)$
  • B
    $(0,-1)$
  • C
    $(-1,0)$
  • D
    $(1,0)$
Answer
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MCQ 121 Mark
The ratio in which the point $\left(\frac{3}{4}, \frac{5}{12}\right)$ divides the line segment joining the points $A \left(\frac{1}{2}, \frac{3}{2}\right)$ and $B (2,-5)$ is :
  • A
    $1: 2$
  • B
    $3: 2$
  • C
    $1: 5$
  • D
    $2: 3$
Answer
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MCQ 131 Mark
If the centroid of the triangle formed by $(7, x),(y,-6)$ and $(9,10)$ is $(6,3)$, then the values of $x$ and $y$ respectively are :
  • A
    $5,3$
  • B
    $5,2$
  • C
    $-3,2$
  • D
    $6,5$
Answer
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MCQ 141 Mark
If $O \left(\frac{a}{3}, 4\right)$ is the mid-point of a line segment joining the points $X (-6,5)$ and $Y (-2,3)$, then the value of $a$ is :
  • A
    -4
  • B
    -6
  • C
    12
  • D
    -12
Answer
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MCQ 151 Mark
A line intersects the $y$-axis and $x$-axis at the points A and B respectively. If $(2,-5)$ is the mid-point of AB , then the coordinates of A and B are, respectively :
  • A
    $(0,-5)$ and $(2,0)$
  • B
    $(0,10)$ and $(-4,0)$
  • C
    $(0,4)$ and $(-10,0)$
  • D
    $(0,-10)$ and $(4,0)$
Answer
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MCQ 161 Mark
The centroid of the triangle whose vertices are $(3,-7),(-8,6)$ and $(5,10)$ is :
  • A
    $(0,9)$
  • B
    $(0,3)$
  • C
    $(1,3)$
  • D
    $(3,3)$
Answer
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MCQ - Mathematics STD 10 Questions - Vidyadip