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…
Category: Co ordinate Geometry
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 =…
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