Quiz on Cartesian Plane and Pythagorean Theorem | CBSE NCERT Class IX | #maths #education #exam

What is the distance between the origin $(0,0)$ and the point $(3,4)$ on the Cartesian plane? Find the distance between the points $(1,2)$ and $(4,6)$. The distance between the points $(-2,-3)$ and $(-2,5)$ requires the full Pythagorean theorem formula to solve. What is the distance between $(0,0)$ and $(-6,8)$? The distance formula $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ is directly derived from the _______ theorem. A right triangle has vertices at $(0,0)$, $(5,0)$, and $(5,12)$. What is the length of its hypotenuse? Which point is at a distance of 13 units from the origin? The distance between $(a,b)$ and $(c,d)$ is the same as the distance between $(c,d)$ and $(a,b)$. Find the distance between $(-1,-1)$ and $(2,3)$. The distance between the points $(2,3)$ and $(2,9)$ is ___ units. If a segment has endpoints at $(-3,2)$ and $(5,2)$, what is its length? What is the distance between $(1,1)$ and $(4,4)$? A point located at $(0,-5)$ is 5 units away from the origin. What is the distance between $(2,-3)$ and $(-4,5)$? To find the distance from a point $(x,y)$ to the origin, you evaluate the expression $\sqrt{x^2 + ___}$. A triangle has vertices $A(0,0)$, $B(4,0)$, and $C(0,3)$. What is the perimeter of this triangle? Find the distance between $(-2,1)$ and $(3,13)$. The coordinates $(3,4)$, $(-3,4)$, and $(3,-4)$ are all the same distance away from the origin. Arrange these pairs of points by their distance apart in ascending order A circle centered at the origin passes through $(6,8)$. What is the radius of the circle?