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The co-ordinates of the vertices P, Q, R & S of square PQRS inscribed in the triangle ABC with vertices A(0, 0), B(3, 0) & C(2, 1) given that two of its vertices P, Q are on the side AB are respectively
- a)
- b)
- c)(1, 0)
- d)
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The co-ordinates of the vertices P, Q, R & S of square PQRS inscri...
Let co-ordinates of P are (x1,0) and side of square is 'a'
∴ Q(x1+a,0)
S(x1, a)
R(x1+a, a)
Now, mAS = mAC
⇒ a/x1 = 1/2
⇒ x1 = 2a ......(1)
mBR = mBC
⇒ a/(x1+a−3) = −1
⇒ x1+2a−3=0 ......(2)
from (1) & (2) a = 3/4
& x1 = 3/2
Hence co-ordinates of P, Q, R, & S can be determined.
(3/2,0) (9/4,0) (9/4,3/4) (3/2,3/4)
∴ Q(x1+a,0)
S(x1, a)
R(x1+a, a)
Now, mAS = mAC
⇒ a/x1 = 1/2
⇒ x1 = 2a ......(1)
mBR = mBC
⇒ a/(x1+a−3) = −1
⇒ x1+2a−3=0 ......(2)
from (1) & (2) a = 3/4
& x1 = 3/2
Hence co-ordinates of P, Q, R, & S can be determined.
(3/2,0) (9/4,0) (9/4,3/4) (3/2,3/4)
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The co-ordinates of the vertices P, Q, R & S of square PQRS inscribed in the triangle ABC with vertices A(0, 0), B(3, 0) & C(2, 1) given that two of its vertices P, Q are on the side AB are respectivelya)b)c)(1, 0)d)Correct answer is option 'D'. Can you explain this answer?
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The co-ordinates of the vertices P, Q, R & S of square PQRS inscribed in the triangle ABC with vertices A(0, 0), B(3, 0) & C(2, 1) given that two of its vertices P, Q are on the side AB are respectivelya)b)c)(1, 0)d)Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The co-ordinates of the vertices P, Q, R & S of square PQRS inscribed in the triangle ABC with vertices A(0, 0), B(3, 0) & C(2, 1) given that two of its vertices P, Q are on the side AB are respectivelya)b)c)(1, 0)d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The co-ordinates of the vertices P, Q, R & S of square PQRS inscribed in the triangle ABC with vertices A(0, 0), B(3, 0) & C(2, 1) given that two of its vertices P, Q are on the side AB are respectivelya)b)c)(1, 0)d)Correct answer is option 'D'. Can you explain this answer?.
The co-ordinates of the vertices P, Q, R & S of square PQRS inscribed in the triangle ABC with vertices A(0, 0), B(3, 0) & C(2, 1) given that two of its vertices P, Q are on the side AB are respectivelya)b)c)(1, 0)d)Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The co-ordinates of the vertices P, Q, R & S of square PQRS inscribed in the triangle ABC with vertices A(0, 0), B(3, 0) & C(2, 1) given that two of its vertices P, Q are on the side AB are respectivelya)b)c)(1, 0)d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The co-ordinates of the vertices P, Q, R & S of square PQRS inscribed in the triangle ABC with vertices A(0, 0), B(3, 0) & C(2, 1) given that two of its vertices P, Q are on the side AB are respectivelya)b)c)(1, 0)d)Correct answer is option 'D'. Can you explain this answer?.
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