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The points on Y-axis at a distance of 13 units from point (–5, 7) are :
- a)(0, 5) (0, 19)
- b)(0, 5) (0, –19)
- c)(0, –5) (0, –19)
- d)(0, –5) (0, 19)
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The points on Y-axis at a distance of 13 units from point (–5, 7...
Let P(0,y) be the required point on y−axis.
Now, distance between the point P(0,y) and A(−5,7) is 13 units.
Now, PA = 13 units
⇒√(0+5)^2 + (y−7)^2 = 13
⇒√25 + y2 + 49 − 14y = 13
⇒√y^2 + 74 − 14y = 13
⇒y^2 − 14y + 74 = 169
⇒y^2 − 14y − 95 = 0
⇒y^2 − 19y + 5y − 95 = 0
⇒y(y−19) + 5(y−19) = 0
⇒(y+5)(y−19) = 0⇒y+5 = 0 or y−19 = 0
⇒y = −5 or y = 19
So, the required points are :(0,−5) and (0,19)
Most Upvoted Answer
The points on Y-axis at a distance of 13 units from point (–5, 7...
0,0) are (0,13) and (0,-13).
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The points on Y-axis at a distance of 13 units from point (–5, 7...
,(0,5)
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The points on Y-axis at a distance of 13 units from point (–5, 7) are :a)(0, 5) (0, 19)b)(0, 5) (0, –19)c)(0, –5) (0, –19)d)(0, –5) (0, 19)Correct answer is option 'D'. Can you explain this answer?
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The points on Y-axis at a distance of 13 units from point (–5, 7) are :a)(0, 5) (0, 19)b)(0, 5) (0, –19)c)(0, –5) (0, –19)d)(0, –5) (0, 19)Correct answer is option 'D'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The points on Y-axis at a distance of 13 units from point (–5, 7) are :a)(0, 5) (0, 19)b)(0, 5) (0, –19)c)(0, –5) (0, –19)d)(0, –5) (0, 19)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The points on Y-axis at a distance of 13 units from point (–5, 7) are :a)(0, 5) (0, 19)b)(0, 5) (0, –19)c)(0, –5) (0, –19)d)(0, –5) (0, 19)Correct answer is option 'D'. Can you explain this answer?.
The points on Y-axis at a distance of 13 units from point (–5, 7) are :a)(0, 5) (0, 19)b)(0, 5) (0, –19)c)(0, –5) (0, –19)d)(0, –5) (0, 19)Correct answer is option 'D'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The points on Y-axis at a distance of 13 units from point (–5, 7) are :a)(0, 5) (0, 19)b)(0, 5) (0, –19)c)(0, –5) (0, –19)d)(0, –5) (0, 19)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The points on Y-axis at a distance of 13 units from point (–5, 7) are :a)(0, 5) (0, 19)b)(0, 5) (0, –19)c)(0, –5) (0, –19)d)(0, –5) (0, 19)Correct answer is option 'D'. Can you explain this answer?.
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