Question 1 :
The length of the diameter of the circle ${x^2} + {y^2} - 4x - 6y + 4 = 0$
Question 2 :
Equation of the circle with centre on y-axis and passing through the points $(1,0),(1,1)$ is:
Question 3 :
Find the equation of the circle : <br>Centered at $(3,-2)$ with radius $4$.
Question 4 :
If the vertices of a triangle are $(2, -2), (-1, -1)$ and $(5, 2)$ then the equation of its circumcircle is?
Question 5 :
If the lines $3x - 4y - 7 = 0$ and $2s - 3y - 5 = 0$ are two diameters of a circle of area $49\pi$ square units, the equation of the circle is-
Question 6 :
The points $(-2, -1), (1, 0),(4, 3),$ and $(1, 2)$ are the vertices
Question 7 :
Find the distance between the following pair of points.<br/>$(7, 8)$ and $(-2, -3)$
Question 8 :
The slope of the line joining the point (-8,-3)and (8,3) is
Question 9 :
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 10 :
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 11 :
If $A= (1, 2, 3), B = (2, 3, 4)$ and $AB$ is produced upto $C$ such that $2AB = BC$, then $C =$<br/>
Question 12 :
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 13 :
How far is the line 3x - 4y + 15 = 0 from the origin?
Question 14 :
Find the distance from the point (2, 3) to the line 3x + 4y + 9 = 0
Question 15 :
The slope of the line passing through the points $A(-2, 1)$ and $B(0, 3)$ is:<br/>
Question 16 :
A tangent to the curve $y = f(x)$ at $p(x, y)$ meets $x - axis$ at $A$ and $y-axis$ at $B$. If $\overline {AP} : \overline {BP} = 1 : 3$ and $f(1) = 1$ then the curve also passes through the point.
Question 17 :
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 19 :
The harmonic conjugate of $(2, 3, 4)$ with respect to the points $(3, -2, 2)$ and $(6, -17, -4)$ is<br/>