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Q.

Match the list

 List-I List-II
A)Area of the region enclosed by 2|x|+3|y|6P)12
B)The extrimities of the base of an isosceles triangle ABC are the points A (2,0) and B (0,1). If the equation of the side AC is x = 2 and ‘m’ be the slope of side BC, then ‘4m’ equals toQ)4
C)Area of ABC is 20 sq.units where points A, B and C are (4,6), (10,14) and (x,y) respectively. if AC is perpendicular to BC,
then the number of position of C is 
R)5
D)In ABC co-ordinates of orthocentre, centroid and vertex A are respectively (2,2), (2,1) and (0,2). Then x-coordinate of vertex B isS)3
  T)2
 (A)(B)(C)(D)
1)PSQS
2)PSTQ
3)SPQS
4)PTRS

 

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a

1

b

2

c

3

d

4

answer is A.

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Detailed Solution

P:∴2|x|+3|y|6 Will represent the shaded region as shown in figure.
Question Image
=12 sq. units.
Q:D1,12
CD is perpendicular AB.K1221=2. 
Question Image
K=52S:∴α+α+03=2

slope  of   BC=34 4m=3.
R  :     Area  of    triangle  ABC=20 square units.
Question Image
C can not be at D and E.
four postions are possible two above AB and two below AB.
Question Image
α=3
x-coordinate of B =3

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