290566
How many constants are there in the expression 3x\(^{1}\) + y?
1 1
2 2
3 3
4 0
Explanation:
1 D 0 Both the terms of the given expression have either x or y as the variable. Constants are terms without variables. Hence, there are no constants.
06. ALGEBRA
290567
The perimeter of the triangle shown in Fig. is:
1 2x + y
2 x + 2y
3 x + y
4 2x - y
Explanation:
2x + y We know that, perimeter of the triangle = Sum of all sides of triangle Here, sides are x, x and y. Perimeter of the triangle = x + x + y = 2x + y Hence, (a) is correct option.
06. ALGEBRA
290568
If Apala’s present age is x years, what will be her age in years after 20 years from now?
1 \(\text{x}+20\)
2 \(\text{x}-20\)
3 \(\big(\frac { \text{x} }{ 20 }\big)\)
4 \(20\text{x}\)
Explanation:
\(\text{x}+20\)
06. ALGEBRA
290572
If \(\text{a}-\frac{1}{3}=\frac{1}{\text{a}}\) then the value of \(\text{a}^3-\frac{1}{\text{a}^3}\) is.
1 \(1\frac{1}{27}\)
2 \(1\frac{2}{27}\)
3 \(1\frac{3}{27}\)
4 \(1\frac{4}{27}\)
Explanation:
\(1\frac{1}{27}\) B \(1\frac{2}{27}\) Given \(\text{a}-\frac{1}{3}=\frac{1}{\text{a}}= \text{a}-\frac{1}{\text{a}}=\frac{1}{3}\) We know that x\(^{1}\) - y\(^{1}\) = (x - y)3 + 3xy (x + y) Then \(\text{a}^3-(\frac{1}{3})^3=(\text{a}-(\frac{1}{\text{a}}))^3+3\text{a}(\frac{1}{\text{a}})(\text{a}+(\frac{1}{\text{a}})\)\(=(\frac{1}{3})^3+3\times(\frac{1}{3})=\frac{1}{27}+1=\frac{28}{27}=1\frac{1}{27}\)
NEET Test Series from KOTA - 10 Papers In MS WORD
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06. ALGEBRA
290566
How many constants are there in the expression 3x\(^{1}\) + y?
1 1
2 2
3 3
4 0
Explanation:
1 D 0 Both the terms of the given expression have either x or y as the variable. Constants are terms without variables. Hence, there are no constants.
06. ALGEBRA
290567
The perimeter of the triangle shown in Fig. is:
1 2x + y
2 x + 2y
3 x + y
4 2x - y
Explanation:
2x + y We know that, perimeter of the triangle = Sum of all sides of triangle Here, sides are x, x and y. Perimeter of the triangle = x + x + y = 2x + y Hence, (a) is correct option.
06. ALGEBRA
290568
If Apala’s present age is x years, what will be her age in years after 20 years from now?
1 \(\text{x}+20\)
2 \(\text{x}-20\)
3 \(\big(\frac { \text{x} }{ 20 }\big)\)
4 \(20\text{x}\)
Explanation:
\(\text{x}+20\)
06. ALGEBRA
290572
If \(\text{a}-\frac{1}{3}=\frac{1}{\text{a}}\) then the value of \(\text{a}^3-\frac{1}{\text{a}^3}\) is.
1 \(1\frac{1}{27}\)
2 \(1\frac{2}{27}\)
3 \(1\frac{3}{27}\)
4 \(1\frac{4}{27}\)
Explanation:
\(1\frac{1}{27}\) B \(1\frac{2}{27}\) Given \(\text{a}-\frac{1}{3}=\frac{1}{\text{a}}= \text{a}-\frac{1}{\text{a}}=\frac{1}{3}\) We know that x\(^{1}\) - y\(^{1}\) = (x - y)3 + 3xy (x + y) Then \(\text{a}^3-(\frac{1}{3})^3=(\text{a}-(\frac{1}{\text{a}}))^3+3\text{a}(\frac{1}{\text{a}})(\text{a}+(\frac{1}{\text{a}})\)\(=(\frac{1}{3})^3+3\times(\frac{1}{3})=\frac{1}{27}+1=\frac{28}{27}=1\frac{1}{27}\)
290566
How many constants are there in the expression 3x\(^{1}\) + y?
1 1
2 2
3 3
4 0
Explanation:
1 D 0 Both the terms of the given expression have either x or y as the variable. Constants are terms without variables. Hence, there are no constants.
06. ALGEBRA
290567
The perimeter of the triangle shown in Fig. is:
1 2x + y
2 x + 2y
3 x + y
4 2x - y
Explanation:
2x + y We know that, perimeter of the triangle = Sum of all sides of triangle Here, sides are x, x and y. Perimeter of the triangle = x + x + y = 2x + y Hence, (a) is correct option.
06. ALGEBRA
290568
If Apala’s present age is x years, what will be her age in years after 20 years from now?
1 \(\text{x}+20\)
2 \(\text{x}-20\)
3 \(\big(\frac { \text{x} }{ 20 }\big)\)
4 \(20\text{x}\)
Explanation:
\(\text{x}+20\)
06. ALGEBRA
290572
If \(\text{a}-\frac{1}{3}=\frac{1}{\text{a}}\) then the value of \(\text{a}^3-\frac{1}{\text{a}^3}\) is.
1 \(1\frac{1}{27}\)
2 \(1\frac{2}{27}\)
3 \(1\frac{3}{27}\)
4 \(1\frac{4}{27}\)
Explanation:
\(1\frac{1}{27}\) B \(1\frac{2}{27}\) Given \(\text{a}-\frac{1}{3}=\frac{1}{\text{a}}= \text{a}-\frac{1}{\text{a}}=\frac{1}{3}\) We know that x\(^{1}\) - y\(^{1}\) = (x - y)3 + 3xy (x + y) Then \(\text{a}^3-(\frac{1}{3})^3=(\text{a}-(\frac{1}{\text{a}}))^3+3\text{a}(\frac{1}{\text{a}})(\text{a}+(\frac{1}{\text{a}})\)\(=(\frac{1}{3})^3+3\times(\frac{1}{3})=\frac{1}{27}+1=\frac{28}{27}=1\frac{1}{27}\)
290566
How many constants are there in the expression 3x\(^{1}\) + y?
1 1
2 2
3 3
4 0
Explanation:
1 D 0 Both the terms of the given expression have either x or y as the variable. Constants are terms without variables. Hence, there are no constants.
06. ALGEBRA
290567
The perimeter of the triangle shown in Fig. is:
1 2x + y
2 x + 2y
3 x + y
4 2x - y
Explanation:
2x + y We know that, perimeter of the triangle = Sum of all sides of triangle Here, sides are x, x and y. Perimeter of the triangle = x + x + y = 2x + y Hence, (a) is correct option.
06. ALGEBRA
290568
If Apala’s present age is x years, what will be her age in years after 20 years from now?
1 \(\text{x}+20\)
2 \(\text{x}-20\)
3 \(\big(\frac { \text{x} }{ 20 }\big)\)
4 \(20\text{x}\)
Explanation:
\(\text{x}+20\)
06. ALGEBRA
290572
If \(\text{a}-\frac{1}{3}=\frac{1}{\text{a}}\) then the value of \(\text{a}^3-\frac{1}{\text{a}^3}\) is.
1 \(1\frac{1}{27}\)
2 \(1\frac{2}{27}\)
3 \(1\frac{3}{27}\)
4 \(1\frac{4}{27}\)
Explanation:
\(1\frac{1}{27}\) B \(1\frac{2}{27}\) Given \(\text{a}-\frac{1}{3}=\frac{1}{\text{a}}= \text{a}-\frac{1}{\text{a}}=\frac{1}{3}\) We know that x\(^{1}\) - y\(^{1}\) = (x - y)3 + 3xy (x + y) Then \(\text{a}^3-(\frac{1}{3})^3=(\text{a}-(\frac{1}{\text{a}}))^3+3\text{a}(\frac{1}{\text{a}})(\text{a}+(\frac{1}{\text{a}})\)\(=(\frac{1}{3})^3+3\times(\frac{1}{3})=\frac{1}{27}+1=\frac{28}{27}=1\frac{1}{27}\)
