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The value of p , for which the points A(3,1) B(5,p) C(7,-5) are collinear is a)-2 b)2 c) -1 d)1?
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The value of p , for which the points A(3,1) B(5,p) C(7,-5) are collin...
But CBSE reduce the triangle based exercise in coordinate geometry
anyway
u can use this formula :. 1/2×x1(y2–y3) + x2(y3–y1) +x3(y1–y2) =0
1/2×3(P–(-5)+5(–5 –1) +7(1–p)= 0
3 (p+5)+5(–6)+7(1–p) = 0
3p +15–30 + 7–7p =0
–4p –8 =0
–4p = 8
p = –2
hence , option a is correct.
anyway
u can use this formula :. 1/2×x1(y2–y3) + x2(y3–y1) +x3(y1–y2) =0
1/2×3(P–(-5)+5(–5 –1) +7(1–p)= 0
3 (p+5)+5(–6)+7(1–p) = 0
3p +15–30 + 7–7p =0
–4p –8 =0
–4p = 8
p = –2
hence , option a is correct.
Community Answer
The value of p , for which the points A(3,1) B(5,p) C(7,-5) are collin...
Solution:
To check whether the points A(3,1) B(5,p) C(7,-5) are collinear or not, we need to find the slope of AB and BC and see if they are equal.
Slope of AB = (p-1)/(5-3) = (p-1)/2
Slope of BC = (-5-p)/(7-5) = (-5-p)/2
Since the points are collinear, the slopes of AB and BC should be equal.
(p-1)/2 = (-5-p)/2
p-1 = -5-p
2p = -4
p = -2
Therefore, the value of p is -2 which satisfies the condition of collinearity.
Answer: a) -2
To check whether the points A(3,1) B(5,p) C(7,-5) are collinear or not, we need to find the slope of AB and BC and see if they are equal.
Slope of AB = (p-1)/(5-3) = (p-1)/2
Slope of BC = (-5-p)/(7-5) = (-5-p)/2
Since the points are collinear, the slopes of AB and BC should be equal.
(p-1)/2 = (-5-p)/2
p-1 = -5-p
2p = -4
p = -2
Therefore, the value of p is -2 which satisfies the condition of collinearity.
Answer: a) -2
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The value of p , for which the points A(3,1) B(5,p) C(7,-5) are collinear is a)-2 b)2 c) -1 d)1?
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The value of p , for which the points A(3,1) B(5,p) C(7,-5) are collinear is a)-2 b)2 c) -1 d)1? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The value of p , for which the points A(3,1) B(5,p) C(7,-5) are collinear is a)-2 b)2 c) -1 d)1? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The value of p , for which the points A(3,1) B(5,p) C(7,-5) are collinear is a)-2 b)2 c) -1 d)1?.
The value of p , for which the points A(3,1) B(5,p) C(7,-5) are collinear is a)-2 b)2 c) -1 d)1? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The value of p , for which the points A(3,1) B(5,p) C(7,-5) are collinear is a)-2 b)2 c) -1 d)1? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The value of p , for which the points A(3,1) B(5,p) C(7,-5) are collinear is a)-2 b)2 c) -1 d)1?.
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