Question 1 :
The angle of inclination of a straight line parallel to x-axis is equal to
Question 2 :
If the projections of a line segment on the x, y and z axes in $3$-dimensional space are $2, 3$ and $6$ respectively, then the length of line segment is
Question 3 :
What is the value of k, if the line $\displaystyle 2x-3y=k$ passes through the origin.
Question 5 :
The distance of the point $(x_1, y_1)$ from the origin ........
Question 6 :
The distance between the points $(a , b)$ and $(-1, -b)$ is 
Question 7 :
Find the valueof c if the point $(4,5) $ pases through $y=5x+c$
Question 8 :
The length of the segment of the straight line passing through $(3,3)$ and $(7,6)$ cut off by the coordinate axes is
Question 9 :
The distance between $M(-1,5)$ and $N(x,5)$ is $8$ units. The value of $x$ is:
Question 10 :
Harmonic conjugate of the point $C(5, 1)$ with respect to the point $A(2, 10)$ and $B(6, -2)$ is?
Question 11 :
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:
Question 13 :
The centroid of the triangle with vertices (2,6), (-5,6) and (9,3) is
Question 14 :
The points $(a, 0), (0, b)$ and $(1, 1)$ will be collinear if
Question 15 :
Consider a triangle ABC, whose vertical are $A(-2,1), B(1, 3) and C(x,y)$ .If C is a moving point such that area of $\Delta ABC$ is constant,then locus of C is:
Question 16 :
If $A= (1, 2, 3), B = (2, 3, 4)$ and $AB$ is produced upto $C$ such that $2AB = BC$, then $C =$<br/>
Question 17 :
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 18 :
The points (2, 5) and (5, 1) are the two opposite vertices of a rectangle. If the other two vertices are points on the straight line $y = 2x + k$, then the value of k is
Question 19 :
Which of the following are the co-ordinates of the centre of the circle that passes through $P(6, 6), Q(3, 7)$ and $R(3, 3)$?
Question 20 :
How far is the line 3x - 4y + 15 = 0 from the origin?
Question 21 :
The slope of the line joining the point (-8,-3)and (8,3) is
Question 22 :
The angle between the pair of lines with direction ratios (1, 1, 2) and $(\sqrt{3} - 1, -\sqrt{3} - 1, 4)$ is
Question 23 :
If the tangent to the curve $y=x\log { x } $ at $\left( c,f\left( x \right) \right) $ is parallel to the line-segment joining $A\left(1,0\right)$ and $B\left(e,e\right)$, then c=...... .
Question 24 :
Find the distance between the following pair of points.<br/>$(7, 8)$ and $(-2, -3)$
Question 26 :
If $A\left( 1,{ p }^{ 2 } \right) ;B(0,1)$ and $C(p,0)$ are the co ordinates of three points then the value of p for which the area of triangle ABC is minimum, is <br/><br/>
Question 27 :
The coordinate of the point dividing internally the line joining the points $(4, -2)$ and $(8, 6)$ in the ratio $7: 5$ is
Question 28 :
The points $(3,0), (6,4)$ and $(-1,3)$ are vertices of a right-angled  triangle. Show that it is an isosceles triangle.
Question 29 :
The distance between $(2, 3)$ and $(-4, 5)$ is ___ .
Question 30 :
$ABC$ is an isosceles triangle. If the coordinates of the base are B $(1,3)$ and $C ( - 2,7 )$ then the vertex A can be
Question 31 :
If the points $(1,0), (0,1)$ and $(x,8)$ are collinear, then the value of $x$ is equal to<br>
Question 32 :
The ratio of $yz$-plane divide the line joining the points $A(3, 1,- 5), B(1, 4, -6)$ is
Question 33 :
The coordinates of the point which divides the line segment joining points $A(0 , 0)$ and $B(9 , 12)$ in the ration $1 : 2$ are
Question 34 :
If three points $(0, 0), (3,45)$ and $(3, \lambda)$ form en equilateral triangle, then the value of $\lambda$, is _______.
Question 35 :
Find the value of $x_i$, if the distance between the points $(x_i, 2)$ and $(3, 4)$ is $8$.
Question 36 :
If the points $A(3, -2, 4)$, $B(1, 1, 1)$ and $C(-1, 4, -2)$ are collinear, then the ratio in which $C$ divides $AB$ is <br/>
Question 37 :
If (0, 0), (3, 0) and (x, y) are the vertices of an equilateral triangle, then the value of x and y is <br>
Question 38 :
If a point (x, y) in a OXY-plane is equidistant from $(-1, 1)$ and $(4, 3)$, then.<br>
Question 39 :
The area of the triangle formed by the points $(2, 6), (10, 0)$ and $(0, k)$ is zero square units. Find the value of $k.$
Question 41 :
$A$ is the point on the y-axis whose ordinate is $5$ and $B$ is the point $(-3, 1)$. Calculate the length of $AB$.
Question 42 :
A vertical line $l$ passes through the point $(2,3)$. A horizontal line $m$ passes through the point $(-1,6)$. Where do lines $l$ and $m$ intersect?
Question 43 :
If the vertices of a triangle are $(1,2),(4,-6)$ and $(3,5)$, then its area is
Question 44 :
The distance of the point $A(a, b, c)$ from the x-axis is
Question 45 :
Area of a triangle whose vertices are (0, 0), (2, 3) , (5, 8) is ________
Question 46 :
$a, b, c$ are in A.P. and the points $A(a, 1), B(b, 2)$ and $C(c, 3)$ are such that $(OA)^{2}, (OB)^{2}$ and $(OC)^{2}$ are also in A.P; $O$ being the origin, then<br/>
Question 47 :
If the line $2x+y=k$ passes through the point which divides the line segment joining the points $(1, 1)$ and $(2, 4)$ in the ratio $3 : 2$ ,then $k$ equals:
Question 48 :
Let ABC be a right angled triangle whose vertices are $A(0, 0), B(-8, 8)$, and $C(x, 8)$ respectively, then the possible value of x is
Question 49 :
$ABC$ is an equilateral triangle. If the coordinates of two of its vertices are ($1, 3)$ and $(-2, 7)$ the coordinates of the third vertex can be<br>
Question 50 :
The equation ot the line passing through the point $( 1 , - 2,3 )$ and parallel to the line$x - y + 2 z = 5$ and $3 x + y + z = 6$ is
