Coordinate Geometry
Find the coordinate of midpoints of line joining points A(3,6) and B(-2,2)
(0.5,4)
Find the term independent of x in the expansion of (2x - 1/4x2)9
-84
Express 7-x2-6x in the form a - (x+b)2, where a and b are constants
16-(x+3)2
y= 3/(2x-3)2
find dy/dx
-12/(2x-3)3
x2+y2-10x-4y-5=0
An Arithmetic progression has first term 32, 5th term 22 and last term -28. Find the sum of all terms in the progression.
50
The point A(2,2) lies on the curve y=x2 - 2x+2 What is equation of tangent to the curve at A
y-2=2(x-2)
0r
y=2x -2
The function is defined as f(x) = (4x+1)1.5 find f|(x) and f||(x)
6(4x+1)0.5
12(4x+1)-0.5
The points A(1,1) and B(5,9) lie on the curve 6y=5x2-18x+19. Find the equation of perpendicular bisector of AB
2y=13 - x
The 5th, 6th and 7th terms of GP are 8k, -12 and 2k respectively. Given that k is negative, find the sum to infinity
-768
In the expansion of (1/ax + 2ax2)5 the coefficient of x is 5. What is value of constant a
8
Find the coordinate of stationary point and determine its nature of 8x^1/2 -2x
(4,8)
Maximum
Find the coordinates of the points of intersection of the curve y=x^2/3 - 1 with the curve y = x^1/3 +1
(8,3) and (-1,0)
The coefficients of x and x2 in the expansion of (2+ax)7 are equal. find the value of non zero constant a
a = 2/3
Solve (tan x + 2 sin x)/ (tan x - 2sin x)= 3 for 0<x<180
x=75.5 degree
The line 3y+x=25 is normal to the curve y= x2 - 5x +k find the value of constant K
K= 11
The point A has coordinates (-2,6). The equation of the perpendicular bisector of the line AB. is 2y=3x+5. What is equation of AB
3y+2x=14
or
The second term of a geometric progression is 16 and sum to infinity is 100. find the two possible values of first term
a= 20 or a = 80
The points A(7,1), B(7,9) and C(1,9) are on the circumference of a circle. Find the equation of the circle
(x-4)2+(y-5)2=25
A curve has a equation y = (3x+1)2/60 and is moving along the curve. Find the x coordinate of a point on the curve at which x & y coordinate are increasing at same rate
x =3