Maths-
General
Easy
Question
PQRS is a cyclic quadrilateral and PQ is the diameter of the circle. If QPR= ° 35 , then the value of PSR is
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)
- 1550
- 1450
- 1350
- 1250
The correct answer is: 1250
Related Questions to study
maths-
Find the value of ‘x’ in the given figure
![](data:image/png;base64,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)
Find the value of ‘x’ in the given figure
![](data:image/png;base64,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)
maths-General
maths-
In the given figure, find PR
![](data:image/png;base64,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)
In the given figure, find PR
![](data:image/png;base64,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)
maths-General
maths-
In the given figure PA, PB, EC, FB, FD and ED are tangents to the circle. If PA=13cm,CE = 4.5cm and EF = 9cm then PF is
![](data:image/png;base64,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)
In the given figure PA, PB, EC, FB, FD and ED are tangents to the circle. If PA=13cm,CE = 4.5cm and EF = 9cm then PF is
![](data:image/png;base64,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)
maths-General
maths-
If TP and TQ are the two tangents to a circle with centre ‘O’ such that then
, is
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)
If TP and TQ are the two tangents to a circle with centre ‘O’ such that then
, is
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)
maths-General
physics-
Consider a rubber ball freely falling from a height
onto a horizontal elastic plate. Assume that the duration of collision is negligible and the collision with the plate is totally elastic. Then the velocity as a function of time will be
Consider a rubber ball freely falling from a height
onto a horizontal elastic plate. Assume that the duration of collision is negligible and the collision with the plate is totally elastic. Then the velocity as a function of time will be
physics-General
physics-
A ball is thrown vertically upwards. Which of the following plots represents the speed-time graph of the ball during its flight if the air resistance is not ignored
A ball is thrown vertically upwards. Which of the following plots represents the speed-time graph of the ball during its flight if the air resistance is not ignored
physics-General
physics-
The displacement-time graph of a moving particle is shown below. The instantaneous velocity of the particle is negative at the point
![](data:image/png;base64,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)
The displacement-time graph of a moving particle is shown below. The instantaneous velocity of the particle is negative at the point
![](data:image/png;base64,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)
physics-General
physics-
Figure shows the graphical variation of displacement with time for the case of a particle moving along a straight line. The accelerations of the particle during the intervals
and
are respectively
![](data:image/png;base64,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)
Figure shows the graphical variation of displacement with time for the case of a particle moving along a straight line. The accelerations of the particle during the intervals
and
are respectively
![](data:image/png;base64,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)
physics-General
maths-
In the following circle, ‘O’ is the centre .If ![C A B equals 35 to the power of ring operator end exponent text then end text left floor A B C equals](data:image/png;base64,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)
![](data:image/png;base64,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)
In the following circle, ‘O’ is the centre .If ![C A B equals 35 to the power of ring operator end exponent text then end text left floor A B C equals](data:image/png;base64,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)
![](data:image/png;base64,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)
maths-General
maths-
The length of AC in the figure
![](data:image/png;base64,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)
The length of AC in the figure
![](data:image/png;base64,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)
maths-General
maths-
In the figure shown, PT and PAB are the tangent and the secant drawn to a circle. If PT = 12 cm and PB = 8 cm then AB is
![](data:image/png;base64,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)
In the figure shown, PT and PAB are the tangent and the secant drawn to a circle. If PT = 12 cm and PB = 8 cm then AB is
![](data:image/png;base64,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)
maths-General
maths-
Find the value of ‘x’ in the given figure
![](data:image/png;base64,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)
Find the value of ‘x’ in the given figure
![](data:image/png;base64,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)
maths-General
maths-
‘0’ is the centre of the circle and ![B A C plus B O C equals 120 to the power of ring operator end exponent text then end text angle C O B equals](data:image/png;base64,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)
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)
‘0’ is the centre of the circle and ![B A C plus B O C equals 120 to the power of ring operator end exponent text then end text angle C O B equals](data:image/png;base64,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)
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)
maths-General
physics-
A stone dropped from a building of height
and it reaches after
seconds on earth. From the same building if two stones are thrown (one upwards and other downwards) with the same velocity
and they reach the earth surface after
and
seconds respectively, then
A stone dropped from a building of height
and it reaches after
seconds on earth. From the same building if two stones are thrown (one upwards and other downwards) with the same velocity
and they reach the earth surface after
and
seconds respectively, then
physics-General
Physics-
A train moves from one station to another 2 hours time. Its speed-time graph during this motion is shown in the figure. The maximum acceleration during the journey is
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)
A train moves from one station to another 2 hours time. Its speed-time graph during this motion is shown in the figure. The maximum acceleration during the journey is
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)
Physics-General