Distance Between Two Points Formula - Practice Questions & MCQ

The locus of the centres of the circles, which touch the circle,

$x^{2}+y^{2}=1$ externally , also touch the y-axis and lie in the

first quadrant, is :

The intersection of three lines $x-y=0,x+2y=3 \; \text {and} \; 2x+y=6$ is a :

A triangle with vertices $(4, 0), (–1, –1), (3, 5)$ is

If in a cartesian coordinate system Point A = (3,5) and point B = (5,7) find the distance between A and B ? 

What is the distance b/w points A(3,-6 ) and B (2,1) along y-axis ? 

If $P(\sqrt{2} \sec \theta, \sqrt{2} \tan \theta)$ is a point on the hyperbola whose distance from the origin is $\sqrt{6}$ (where P is in the first quadrant) then $\theta$ equals

The ratio in which the line 3x + 4y + 2 = 0 divides the distance between the lines 3x + 4y + 5 = 0 and 3x + 4y – 5 = 0 is