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23 questions · timed · auto-graded

Question 11 Mark
The perimeter of the triangle with vertices $(0,4)(0,0)$ and $(3,0)$ is __________ units. $(8, 12, 15)$
Answer
$12$
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Question 21 Mark
The point which divides the line segment joining the points $A(4,-1)$ and $B(-2,-3)$ in the ratio $1: 2$ lies in __________ quadrant (first, third, fourth)
Answer
fourth
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Question 31 Mark
The centroid of the triangle with vertices $(3,2)(7,5)$ and $(2,1)$ is __________ $\left(\left(2, \frac{8}{3}\right),\left(3, \frac{8}{3}\right),\left(4, \frac{8}{3}\right)\right)$
Answer
$\left(4, \frac{8}{3}\right)$
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Question 41 Mark
The distance between the points $(-5,8)$ and $(-2,-6)$ is __________ $(\sqrt{205}, \sqrt{502}, \sqrt{42})$
Image
Answer
$\sqrt{205}$
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Question 71 Mark
The distance of the point $P (-5,7)$ from the origin is __________ $(74,49, \sqrt{74})$
Answer
$\sqrt{74}$
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Question 81 Mark
The distance between the points $(2,3)$ and $(5,2)$ is __________ $(\sqrt{10}, \sqrt{100}, 10)$
Answer
$\sqrt{10}$
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Question 91 Mark
The point which divides the line segment joining $A (4,7)$ and $B (1,7)$ from $B$ 's in the ratio $1: 2$ is _________ $((2,7),(7,2),(7,7))$
Answer
$2,7$
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Question 101 Mark
$A (3,0), B (0,4)$ and $C (3,4)$ are vertices of $\triangle ABC$. $CD$ is a median. The coordinates of $D$ is _______ $\left(\left(2, \frac{3}{2}\right),\left(\frac{3}{2}, 2\right),\left(\frac{3}{2}, \frac{3}{2}\right)\right)$
Answer
$\left(\frac{3}{2}, 2\right)$
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Question 121 Mark
The distance between the points $(2,-3)$ and $(5, a)$ is $5$ units. Then $a=$ _________
$(-7 \text { or } 1,-9 \text { or } 2,-1 \text { or } 7 \text { ) }$
Answer
$-7$ or $1 $
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Question 131 Mark
The distance between the two point $A \left(0, y_1\right)$ and $B \left(0, y_2\right)$ on $Y$-axis is ________
$
\left(\left|y_2-y_1\right|,\left|y_1-y_2\right|,\left|y_1+y_2\right|\right)
$
Answer
$AB =\left|y_1-y_2\right|$
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Question 141 Mark
The distance between the two points $P \left(x_1, 0\right)$ and $Q \left(x_2, 0\right)$ on $X$-axis is _______
$
\left(\left|x_2-x_1\right|,\left|x_1-x_2\right|,\left|x_1+x_2\right|\right)
$
Answer
$\left|x_1-x_2\right|$
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Question 171 Mark
The foot of perpendicular drawn from $P (-3,2)$ to $Y$-axis is $M$ so, the coordinates of $M =$ ______ $((0,2),(2,0),(2,2))$
Answer
$0,2$
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Question 181 Mark
The foot of perpendicular drawn from $P (-5,2) X$ - axis is $M$. So the coordinates of $M =$_______$((-5,-5),(0,-5),(-5,0))$
Answer
$(-5,0)$
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Question 191 Mark
If the vertices of $\triangle ABC A (0,4), B (0,0), C (3,0)$ then perimeter is _______ $(5,7,12)$
Answer
$12$
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Fill In The Blanks[1 Marks ] - Maths STD 10 Questions - Vidyadip