Which of the following is not an equation of a circle?
3x2 +3y2 + 5x + 7y =5
x2 + y2 + 5x + 4y = 0
5x2 + 5y2 - 16 = 0
x2 - y2 + 3x - 5y = 2
Correct answer is D
No explanation has been provided for this answer.
In how many ways can the letters of the word MEMBER be arranged?
720
360
180
90
Correct answer is C
No. of ways = 6!2!2!
= 6×5×4×3×2!2×1×2!
= 180 ways
A circle with centre (5,-4) passes through the point (5, 0). Find its equation.
x2 + y2 + 10x + 8y + 25 =0
x2 + y2 +10x - 8y - 25 = 0
x2 + y2 - 10x + 8y + 25 =0
x2 + y2 -10x - 8y - 25 = 0
Correct answer is C
(x - h)2 + (y - k)2 = r2
x2 - 2hx + y2 - 2ky + h2 + k2 = r2
x2 - 2(3)x + y2 - 2(-4) y + 52 + (-4)2 = r2
x2 - 10x + y2 + 8y + 25 + 16 = r2
x2 - 10x + y2 + 8y + 41 = r2
at point (5,0)
52 - 10(5) + 02 + 8(0) + 41 = r2
25 - 50 + 41 = r2
16 = r2
r = √16
= 4
x2 + y2 - 10x + 8y + 25 = 0
Find the nth term of the linear sequence (A.P) (5y + 1), ( 2y + 1), (1- y),...
(8 + 3n)y + 1
8y + 3n + 1
(8 - 3n)y + 1
8y - 3n + 1
Correct answer is C
Tn = a + (n - 1)d
Tn = 5y + 1 (n - 1) -3y
Tn = 5y + 1 - 3ny + 3y
Tn = 8y - 3ny + 1
Tn = (8 - 3n) y + 1