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If for real values of x,costheta = x 1/x then a) theta is acute angle b) theta is right angle c) theta is an obtuse angle d) no value of theta is possible?
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If for real values of x,costheta = x 1/x then a) theta is acute angl...
The answer is d.
It is not possible.Community Answer
If for real values of x,costheta = x 1/x then a) theta is acute angl...
Explanation:
Given: cos(theta) = x 1/x
Analysis:
To determine the possible values of theta, we need to consider the range of values for x that satisfy the equation cos(theta) = x 1/x.
Analysis of Possible Values:
- When x is positive, the range of values for cos(theta) is between -1 and 1. Since x 1/x can never exceed 2 for positive x, there are no real values of theta that satisfy the equation for positive x.
- When x is negative, the range of values for cos(theta) is also between -1 and 1. However, for negative x, the range of x 1/x can exceed 2. This means that there are possible values of theta that satisfy the equation for negative x.
Conclusion:
Therefore, based on the analysis above, the possible values of theta are only possible for negative x. This implies that theta is an obtuse angle since the values of theta that satisfy the equation fall within the range of obtuse angles (-90° to -180°). Hence, the correct answer is:
c) theta is an obtuse angle
Given: cos(theta) = x 1/x
Analysis:
To determine the possible values of theta, we need to consider the range of values for x that satisfy the equation cos(theta) = x 1/x.
Analysis of Possible Values:
- When x is positive, the range of values for cos(theta) is between -1 and 1. Since x 1/x can never exceed 2 for positive x, there are no real values of theta that satisfy the equation for positive x.
- When x is negative, the range of values for cos(theta) is also between -1 and 1. However, for negative x, the range of x 1/x can exceed 2. This means that there are possible values of theta that satisfy the equation for negative x.
Conclusion:
Therefore, based on the analysis above, the possible values of theta are only possible for negative x. This implies that theta is an obtuse angle since the values of theta that satisfy the equation fall within the range of obtuse angles (-90° to -180°). Hence, the correct answer is:
c) theta is an obtuse angle
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If for real values of x,costheta = x 1/x then a) theta is acute angle b) theta is right angle c) theta is an obtuse angle d) no value of theta is possible?
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If for real values of x,costheta = x 1/x then a) theta is acute angle b) theta is right angle c) theta is an obtuse angle d) no value of theta is possible? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If for real values of x,costheta = x 1/x then a) theta is acute angle b) theta is right angle c) theta is an obtuse angle d) no value of theta is possible? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If for real values of x,costheta = x 1/x then a) theta is acute angle b) theta is right angle c) theta is an obtuse angle d) no value of theta is possible?.
If for real values of x,costheta = x 1/x then a) theta is acute angle b) theta is right angle c) theta is an obtuse angle d) no value of theta is possible? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If for real values of x,costheta = x 1/x then a) theta is acute angle b) theta is right angle c) theta is an obtuse angle d) no value of theta is possible? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If for real values of x,costheta = x 1/x then a) theta is acute angle b) theta is right angle c) theta is an obtuse angle d) no value of theta is possible?.
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