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Applied Mathematics
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Straight lines
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Medium Questions
Straight Lines
Applied Mathematics
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JEE Mains
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The fourth vertex
$D$
of a parallelogram
$ABCD$
whose three vertices are
$A(2,3),B(6,7)$
and
$C(8,3)$
is
A
$(0,1)$
B
$(0,−1)$
C
$(4,−1)$
D
$(−1,4)$
Medium
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The value of
$E=(1+19)(1+219 )(1+319 ).....(1+1719 )(1+17)(1+217 )(1+317 )......(1+1917 ) $
is,
A
$1$
B
$_{36}C_{17}$
C
$192 $
D
$_{36}C_{18}$
Medium
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The sum of the value of the digits at the tens place of all the numbers formed with the help of
$3,4,5,6$
taken all at a time is
A
$1080$
B
$4320$
C
$360$
D
$180$
Medium
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>
Three Men have
$4$
coats
$5$
waist Coats, and
$6$
caps. The number of ways they can wear them is
A
$_{1}_{5}P_{3}$
B
$4_{3}5_{3}6_{3}$
C
$_{4}P_{3}_{5}P_{3}_{6}P_{3}$
D
$180$
Medium
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>
Plot
$(3,0),(5,0)$
and
$(0,4)$
on cartesian plane. Name the figure formed by joining these points and find its area.
A
Figure formed is a Rectangle and
Area
$=52$
sq. unit
B
Figure formed is a triangle and
Area
$=4$
sq. unit
C
Figure formed is a square and
Area
$=40$
sq. unit
D
None of these
Medium
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The area of a triangle with vertices
$A(3,0),B(7,0)$
and
$C(8,4)$
is
A
$14$
B
$28$
C
$8$
D
$6$
Medium
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>
A point
$(a,b)$
is called a good point if both
$a$
and
$b$
are integers. Number of good points on the curve
$xy$
$=$
$225$
are
A
20
B
18
C
16
D
14
Medium
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>
In a class there are
$10$
boys and
$8$
girls. The teacher wants to select either a boy or a girl to represent the class in a function. The number of ways the teacher can make this selection.
A
$18$
B
$80$
C
$_{1}_{0}P_{8}$
D
$_{1}_{0}C_{8}$
Medium
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The area of a triangle with vertices
$(a,b+c),(b,c+a)$
and
$(c,a+b)$
is
A
$a$
B
$b$
C
$c$
D
$0$
Medium
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>
Differentiation gives us the instantaneous rate of change of one variable with respect to another.
A
True
B
False
Medium
JEE Mains
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