Question 2 :
The slope of the line passing passing through the Origin and the Point having coordinates (3,2) is :<br/>
Question 3 :
A rectangular hyperbola whose cente is C is cut by any circle of radius r in four point P, Q, R, S. The value of $CP^{2}+CQ^{2}+CR^{2}+CS^{2}$ is equal to :
Question 4 :
Find the distance between P and Q if P is a point on the x axis with abscissa 12 and Q is (8, 3)
Question 5 :
The middle point of the line segment joining $ (3 , 1) $ and $ (1 , 1) $ is shifted by two units ( in the sense increasing y) perpendicular to the line segment. Then the coordinates of the point in the new position is
Question 6 :
The slope of the line joining the point (-8,-3)and (8,3) is
Question 7 :
The coordinates of a point on the line y=x where perpendicular from the line 3x+4y=12 is 4 units, are
Question 8 :
$A(0, 0), B(7, 2), C(7, 7)$ and $D(2, 7)$ are the vertices of a quadrilateral. The respective slopes of diagonals $AC$ and $BD$ are <br/>
Question 9 :
The value of "c" if the line $x+4y=9$ pases through $(5,c)$
Question 10 :
Find the positive value of x if the distance between the points (x, -1) and (3, 2) is 5
Question 11 :
If the points (4,y) (6,4), and (-1,-3) are collinear then y=
Question 12 :
Find the inclination of the line passing through (-5, 3) and (10, 7)
Question 13 :
The slope of the line passing through the points $A(-2, 1)$ and $B(0, 3)$ is:<br/>
Question 15 :
The points $(-2, -1), (1, 0),(4, 3),$ and $(1, 2)$ are the vertices
Question 16 :
<span>If point $R(X,\,Y)$</span><span> is mid point of the line </span><span>joining $P(X,\,Y)$ and $Q(x_2,\,y_2)$ internally and</span> $m_1=m_2$, then the coordinates of R are
Question 17 :
The midpoints of the sides of triangle ABC are (-1,-2),(6,1), and (3,5) The area of $\displaystyle \triangle ABC$ is
Question 18 :
If the area of the triangle formed by (-2,5), (x,-3) and (3,2) is 14 square units then x=
Question 20 :
When the Y-coordinates of two points lying on a line are non-zero and equal, and the X-coordinates are unequal, then :
Question 21 :
The distance between the points $(cos \alpha ,\quad sin\alpha )$, $(- sin \alpha ,\quad cos\alpha )$ is
Question 23 :
Find the distance between the points $(a\cos 60^{\circ},0)$ and $ (0,a \sin 60^{\circ},0)$ 
Question 24 :
Which of the following is perpendicular to the line x/3 + y/4 = 1?
Question 25 :
The length of the diagonal of rectangle ABCD formed by A(2,-2), B(8,4), C(5,7) and D(-1,1) is
Question 26 :
Find the valueof c if the point $(4,5) $ pases through $y=5x+c$
Question 28 :
If the distance between point ${\rm{P}}\left( {{\rm{2,2}}} \right)$ and ${\rm{Q}}\left( {{\rm{5,x}}} \right)$ is $5$ then the value of $x$ is
Question 29 :
The value of k when the distance between the points $(3,k)$ and $(4,1)$ is $ \displaystyle  \sqrt{10}  $ is <br/>
Question 30 :
If the distance between the points $(8, 7)$ and $(3, y)$ is 13 what is the value of y?
Question 32 :
The co-ordinates of vertices $P$ and $Q$ of an equilateral $\displaystyle \Delta $ are $(1,\displaystyle\sqrt{3} )$ and $(0 , 0)$. Which of the following could be co-ordinates of $R$?
Question 33 :
If the inclination of a line is $45^\circ$, then the slope of the line is ?
Question 35 :
The length of the segment of the straight line passing through $(3,3)$ and $(7,6)$ cut off by the coordinate axes is
Question 36 :
What is the maximum positive value that slope of a line can take?
Question 37 :
A student moves $\sqrt {2x} km$ east from his residence and then moves x km north. He then goes x km north east and finally he takes a turn of $90^{\circ}$ towards right and moves a distance x km and reaches his school. What is the shortest distance of the school from his residence?
Question 38 :
If a plane has X-intercept $l$, Y-intercept $m$ and Z-intercept $n$, and perpendicular distance of plane from origin is $k$, then ?
Question 39 :
The ratio in which the line joining the points $(3, 4)$ and $(5, 6)$ is divided by $x-$axis :
Question 40 :
STATEMENT -1 : Points (1, 7), (4, 2), (-1, -1) and (-4, 4) are the vertices of a square.<br>STATEMENT - 2 : The distance between $P(x-1 , y_1)$ and $Q (x_2 , y_2)$ is $\sqrt{(x_1 -x_1)^2 + (y_2 - y_1)^2}$. for a square all sides should be same. <br>
Question 41 :
The angle of inclination of a straight line parallel to x-axis is equal to
Question 42 :
The slope of the line passing through the points $M\left( 4,0 \right)$ and $N\left( -3,-2 \right)$ is
Question 43 :
The vertices of a $\triangle {ABC}$ are $A(-5,7),B(-4,-5)$ and $C(4,5)$. Find the slopes of the altitudes of the triangle.
Question 45 :
If the angle $\theta$ gives the inclination of a line, then the slope of that line is given by :
Question 46 :
What is the value of k, if the line $\displaystyle 2x-3y=k$ passes through the origin.
Question 48 :
The triangle formed by $(-2, 2), (8, -2), (-4, 3)$ is _________.
Question 49 :
A point on XOZ-plane divides the join of $(5, -3, -2)$ and $(1, 2, -2)$ at
Question 50 :
The orthocentre of the triangle $ABC$ is $B$ and the circumstances is $S(a,b)$. If $A$ is the origin, then the coordinates of $C$ are:
