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JEE Questions for Maths Trigonometric Ldentities And Equations Quiz 6 - MCQExams.com
JEE
Maths
Trigonometric Ldentities And Equations
Quiz 6
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1
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3
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None of these
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2)
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None of these
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2
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2 + 4 sin θ
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2 – 4 sin θ
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If 3sin θ + 5cos θ = 5, then 5sin θ - 3cos θ is equal to
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4
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± 3
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5
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None of these
If sin α sin β – cos α cos β + 1 = 0, then
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cot α + cot β = 0
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1 + cot α cot β = 0
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1 + tan α tan β = 0
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none of these
If 3 tan θ tan φ =1, then
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cos(θ + φ ) = cos(θ - φ )
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cos(θ + φ) = 2 cos(θ - φ )
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cos(θ + φ ) = - cos(θ - φ )
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2 cos(θ + φ) = cos(θ - φ )
If α + β = 90
o
, then maximum value of sin α sin β is
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1
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2)
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2
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None of these
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A + B = C
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B + C = A
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C + A = B
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None of these
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None of these
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If cos
x
= tan y, cos y = tan z, cot z = tan
x
, then the value of sin
x
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2 cos 18o
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cos 18o
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sin 18o
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2 sin 18o
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θ = 0
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2)
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0%
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0
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1
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2
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∞
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If 4 sin
2
x
– 8 sin
x
+ 30, , then the solution set for
x
is ≤ 0 ≤ 2
x
≤ π
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The number of solutions of the equation tan
x
+ sec
x
= 2 cos
x
lying inthe interval [0, 2π] is
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0
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1
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2
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3
The solution of the equation (sin
x
+ cos
x
)(1 + sin 2
x
) = 2, is –π ≤
x
≤ π
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Angle between the hour-hand and the minute-hand in circular measure at half part 4 is
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1
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0
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0
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1
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2
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3
The angle subtended to the centre of a circle of radius 3 meters by an arc of length 1 metre is equal to
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20o
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60o
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1/3 radian
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3 radians
A circular wire of radius 7 cm is cut and bend again into an arc of a circle of radius 12 cm. The angle subtended by the arc at the centre is
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50o
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210o
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100o
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60o
The radius of the circle whose arc of length 15 cm makes an angle of 3/4 radian at the centre is
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10 cm
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20 cm
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11 ¼ cm
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22 ½ cm
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Θ is an acute angle
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Θ is a right angle
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Θ is an obtuse angle
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No value of θ is possible
The incorrect statement is
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Which one of the following is possible?
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2
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2m
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2n
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mn
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x = y
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x < y
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x > y
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None of these
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0
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1/2
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1
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2
Which of the following relations is correct?
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1
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0
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∞
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1/2
Which one of the following equations has no solution?
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1
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4
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2
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None of these
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m
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n
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2m
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2n
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3
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2
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–1
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0
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–3
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–5
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–7
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–9
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0
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1
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1/6
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6
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None of these
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