Let F(x, y) = (2xy+ y2, x² – line from (0, 1) to (2, 3) followed by the straight line from (2, 3) to (1, 1). Then F dr 2xy3) and let C denote the straight - O a) 2 O b) None of these c) – 2 d) 0

Q: Find the point on the line x - 3y+9 = 0 that is closest to the point (-1, 3). 1) (-0.9, 2.7) O 2)…

A: Closest distance form a point to a line is normal distance from point to line.

Q: Determine B such that the line 3x +2y-7= 0 is perpendicular to 2x By +2 = 0. 05 04 O 3 02

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Q: (1,6) and perpendicular to 2x+7y=1

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Q: If C is the line segment connecting the point (a1, b1) to the point (a2, b2), show that 3r dy – 3y…

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Q: Let v = (a) 27 t (5, 2, 5) and w= (1, 5, 0). - = 4w = (b) Let 3 (t, 1, 0). For which value(s) of t…

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Q: line through the variable point A(k+1,2k) meets the lines 7x+y-16=0 ,5x-y-8=0,x-5y+8=0 at…

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Q: Find the points of intersection of x = 4y and y = 4x. (ans.:(0,0),(16,64))

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Q: Q6: Determine whether AB is parallel or perpendicular to CD whe a) A(0,-1): B(1,1) ; C(1,5) D-1,1)…

A: to check the lines are parallel or perpendicular

Q: Evaluate F. dr along the line segment C from Pto Q. F = -8 xi+5y j; P(-1,0), Q(7, 0) F. dr i

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Q: Evaluate |(xy? + 4) ds where C is the portion of the line segment from (1,2) to (3,-4) and then from…

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Q: Let there be two lines L, and L, inclined at a small angle 60 to one another, such that their…

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Q: Find the missing values under each condition - A) (-3,-1), (x,7), d=10 B) (2,4) (7,y), d=13 C)…

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Q: Find the foot of the perpendicular drawn from (4,1) upon the straight line 3x – 4y + 12 = 0 -

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Q: Ty Which point on the y-axis lies on the line that passes through point G and is parallel to line…

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Q: whats the distance of JK, where J(4,3) and K(2,-3)?

A: Concept Let two points  P( x1 , y1 ) & Q( x2 , y2 ) Then PQ = ( x2 - x1 )2 + ( y2 - y1 )2