Engineering
Mathematics
Introduction to Logarithm
Question

Let A (a, b), B (3, 4) and C(–6, –8) respectively denote the centroid circumcentre and orthocentre of a triangle. Then, the distance of the point P(2a + 3, 7b + 5) from the line 2x + 3y – 4 = 0 measured parallel to the line x – 2y – 1 = 0 is.

517

1757

1557

1756

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Solution
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A = (0, 0)

⇒ p(3, 5)

PQ is parallel to x– 2y = 1

Slope of PQ = 1/2

tanθ = 1/2

Q3+2r5,5+r5

Q lies on 2x + 3y = 4

23+2r5+35+r5=4r=1757

⇒ |r|=1757

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