Using identities, evaluate 712
Answer: 5041 712 712 can be written as (70 + 1)2 ∴ 712 = (70 + 1)2 Using the identity... View Article
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Using identities, evaluate 78 x 82
Answer: 6396 78 x 82 78 can be written as (80 – 2) and 82 can be written as (80... View Article
Using identities, evaluate 8.92
Answer: 79.21 8.92 8.92 can be written as (9 – 0.1)2 8.92 = (9 – 0.1)2 (a – b)2 =... View Article
Using identities, evaluate 992
Answer: 9801 992 992 can be written as (100 – 1)2 ∴ 992 = (100 – 1)2 Using the identity... View Article
Using identities, evaluate 9982
Answer: 996004 9982 9982 can be written as (1000 – 2)2 Using the identity (a – b)2 = a2 +... View Article
Verify that: -(-x) = x for. (i) x = 11/15 (ii) x = -13/17
Answer: Given -(-x) = x (i) x = 11/15 We have, x = 11/15 An additive inverse of a number... View Article
Verify that: x3 + y3 + z3 – 3xyz = (1/2) (x + y + z)[(x – y)2 + (y – z)2 + (z – x)2]
Answer: Given x3 + y3 + z3 – 3xyz = (1/2) (x + y + z)[(x – y)2 + (y... View Article
Verify whether the following are zeroes of the polynomial, indicated against them: p(x) = (x+1)(x–2), x = −1, 2
Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree... View Article
Verify whether the following are zeroes of the polynomial, indicated against them: p(x) = 3x + 1, x= −1/3
Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree... View Article
Verify whether the following are zeroes of the polynomial, indicated against them: p(x) = 3x2 −1, x = -1/√3 , 2/√3
Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree... View Article
Verify whether the following are zeroes of the polynomial, indicated against them: p(x) = 5x – π, x = 4/5
Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree... View Article
Verify whether the following are zeroes of the polynomial, indicated against them: p(x) = lx + m, x = −m/l
Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree... View Article
Verify whether the following are zeroes of the polynomial, indicated against them: p(x) = x2, x = 0
Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree... View Article
Verify whether the following are zeroes of the polynomial, indicated against them: p(x) = x2 −1, x=1, −1
Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree... View Article
Verify whether the following are zeroes of the polynomial, indicated against them: p(x) =2x + 1, x = 1/2
Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree... View Article
Verify: x3 – y3 = (x – y)(x2 + xy + y2)
Answer: Given x3 – y3 = (x – y)(x2 + xy + y2) In the given equation LHS = x3... View Article
Verify: x3 + y3 = (x + y)(x2 – xy + y2)
Answer: Given x3 + y3 = (x + y)(x2 – xy + y2) (x + y)3 = x3 + y3... View Article
Wastewater released by houses is called ____________.
Answer: Wastewater released by houses is called sewage. Sewage Sewage is actually the wastewater that is released from houses, hospitals,... View Article
We can see a non-luminous object when light: (a) emitted by the object falls on the eye. (b) is reflected from the object towards our eye. (c) completely passes through the object. (d) gets completely absorbed by the object.
Answer: (b) is reflected from the object towards our eye. We can see a non-luminous object when light reflected by... View Article
We have a stringed musical instrument. The string is plucked in the middle first with a force of greater magnitude and then with a force of smaller magnitude. In which case would the instrument produce a louder sound?
Answer: The amplitude of vibration determines the loudness of the sound. When a string is plucked with greater force amplitude... View Article
