Which of the following is not an equation of a circle?
3x\(^2\) +3y\(^2\) + 5x + 7y =5
x\(^2\) + y\(^2\) + 5x + 4y = 0
5x\(^2\) + 5y\(^2\) - 16 = 0
x\(^2\) - y\(^2\) + 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 = \(\frac{6!}{2!2!}\)
= \(\frac{6 \times 5 \times 4 \times 3 \times 2!}{2 \times 1 \times 2!}\)
= 180 ways
0.50 square units
0.51 square units
0.53 square units
0.54 square units
Correct answer is C
Area = \(\frac{1}{2} \times 1.33 \times 0.8\)
= 0.53 square unit
A circle with centre (5,-4) passes through the point (5, 0). Find its equation.
x\(^2\) + y\(^2\) + 10x + 8y + 25 =0
x\(^2\) + y\(^2\) +10x - 8y - 25 = 0
x\(^2\) + y\(^2\) - 10x + 8y + 25 =0
x\(^2\) + y\(^2\) -10x - 8y - 25 = 0
Correct answer is C
(x - h)\(^2\) + (y - k)\(^2\) = r\(^2\)
x\(^2\) - 2hx + y\(^2\) - 2ky + h\(^2\) + k\(^2\) = r\(^2\)
x\(^2\) - 2(3)x + y\(^2\) - 2(-4) y + 5\(^2\) + (-4)\(^2\) = r\(^2\)
x\(^2\) - 10x + y\(^2\) + 8y + 25 + 16 = r\(^2\)
x\(^2\) - 10x + y\(^2\) + 8y + 41 = r\(^2\)
at point (5,0)
5\(^2\) - 10(5) + 0\(^2\) + 8(0) + 41 = r\(^2\)
25 - 50 + 41 = r\(^2\)
16 = r\(^2\)
r = \(\sqrt{16}\)
= 4
x\(^2\) + y\(^2\) - 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