## Straight Line in coordinate geometry

The straight line is a fundamental concept in coordinate geometry. In two-dimensional space, a straight line can be represented by the equation y = mx + b, where m is…

## Fundamentals of parabolas in coordinate geometry

Understanding the Fundamentals of Parabolas in Coordinate Geometry Coordinate geometry is an important branch of mathematics that deals with the study of points, lines, and shapes in a coordinate system.…

## Problem 716

Write the expression in a + bi form    Solution:-   = =4(cos 90+ isin90) = 4(0+i(1)) =4i

## Problem 712

A fire truck is en route to an address that is six blocks east and seven blocks south of the fire station. Using the fire station as the pole and…

## Problem 682

Write down an (in)equality which describes the solid ball of radius 2 centered at (1, -4, -9). It should have a form like where you use one of the following…

## Problem 681

Find the center and radius of the sphere Center: ( , , ) Radius:……   Solution:-   Center: (3,5,10)   Radius:- 8

## Problem 680

Find an equation of the largest sphere with center (10, 3 , 5) that is contained completely in the first octant. ……………………..= 0   Solution:-   =0

## Problem 679

Find an equation of the sphere that passes through the origin and whose center is (7, -3, -6). ……………………….= 0   Solution:-

## Problem 678

Find the equation of the sphere if one of its diameters has endpoints (4, -3, 1) and (6, 1, 7). ………………………= 0.   Solution:-   =0

## Problem 677

Find the equation of the sphere centered at (-2;10;9) with radius 10. ………………………….= 0.   Give an equation which describes the intersection of this sphere with the plane z =…