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Algebra

Multiple Choice Questions

141.

If a + b + c = 0, then the value of a³ + b³ + c³ is

abc
2abc
3abc
3abc

53 Views

142.

If $1 over straight p space plus space 1 over straight q space equals space fraction numerator 1 over denominator straight p plus straight q end fraction comma$ then the value of p³ - q³

p - q
pq
1
1

52 Views

143.

If x = 93, y = 93, z = 94, then the value of x² - y² + 10xz + 10yz is

104784
147840
174840
174840

71 Views

144.

The value of $left parenthesis straight x to the power of 1 third end exponent space plus space straight x to the power of negative 1 third end exponent right parenthesis space left parenthesis straight x to the power of 2 over 3 end exponent minus 1 space plus space straight x to the power of negative 2 over 3 end exponent right parenthesis$ is

$straight x to the power of negative 1 end exponent plus space straight x to the power of 2 over 3 end exponent$
$straight x space plus space straight x to the power of negative 1 third end exponent$
$straight x to the power of 1 third end exponent space plus space straight x to the power of negative 1 end exponent$
$straight x to the power of 1 third end exponent space plus space straight x to the power of negative 1 end exponent$

67 Views

145.
If x, y and z are real numbers such that (x - 3)² + (y - 4)² + (z - 5)² = 0, then (x + y + z) is equal to

-12

0

8

8

x - 3 = 0 ⟹ x = 3
y - 4 = 0 ⟹ y = 4
z - 5 = 0 ⟹ z = 5
∴ (x + y + z) = (3 + 4 + 5) = 12

52 Views

146.

If $2 straight x space plus space fraction numerator 1 over denominator 3 straight x end fraction space equals space 5 comma$ then the value of $fraction numerator 5 straight x over denominator 6 straight x squared plus 20 straight x plus 1 end fraction$ is

56 Views

147.

If a + b = 10 and ab = 21, then the value of (a - b)² is

62 Views

148.

If (x - 4) (x² + 4x + 16) = x³ - p, then p is equal to

47 Views

149.

If (x - 5)² + (y - 2)² + (z - 9)² = 0, then value of (x + y - z) is

16
-1
-2
-2

59 Views

150.

If $straight x plus space 1 over straight x space equals space 3 comma$ then $straight x to the power of 8 space plus space 1 over straight x to the power of 8$ is equal to