Question 2 :
Which of the following points are $10$ units from the origin?
Question 3 :
The length of the segment of the straight line passing through $(3,3)$ and $(7,6)$ cut off by the coordinate axes is
Question 4 :
Find the distance between the following pair of points.<br/>$(5, 7)$ and the origin
Question 6 :
The slope of the line passing through the points $A(-2, 1)$ and $B(0, 3)$ is:<br/>
Question 7 :
The angle of inclination of a straight line parallel to x-axis is equal to
Question 10 :
If the straight line $ax + by + p = 0$ and $x\cos \alpha + y \sin \alpha = p$ enclosed an angle of $\dfrac {\pi}{4}$ and the line $x\sin \alpha - y \cos \alpha = 0$ meets them at the same point, then $a^{2} + b^{2}$ is
Question 11 :
There are two possible values of p & if the distance of $(p, 4)$ and $(5, 0)$ is $5$, then the two value difference of p is
Question 12 :
If the length of the line AB, joining $A(4, 1)$ and $B(3, a)$ is $\sqrt{10}$, then the value of $'a'$ is
Question 13 :
Assertion: If $x+ky=1$ and $x=a$ are the equations of the hypotenuse and a side of a right angled isosceles triangle then $k=\pm a$.
Reason: Each side of a right angled isosceles triangle makes an angle $\pm \dfrac\pi4$ with the hypotenuse.
Question 14 :
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
Question 15 :
$A$ is the point on the y-axis whose ordinate is $5$ and $B$ is the point $(-3, 1)$. Calculate the length of $AB$.
Question 16 :
$ABC$ 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>