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Maths-

General

Easy

Question

One of the angles of a triangle is $65 to the power of ring operator end exponent$ . If the difference of other two angles is $25 to the power of ring operator end exponent$ , the largest angle of this triangle has a measure of

$65^{\circ}$
$70^{\circ}$
$40^{\circ}$
$80^{\circ}$

hint Hint:

Let one angle be $∠ x$
$∴$ other angle is $∠ x + 25$
Now,
We know, by angle sum property, the sum of all angles of a triangles is $180$
$⟹ x + x + 25 + 65 = 180$
$⟹ 2 x = 180 - 90$
$⟹ x = 45$
Thus, the angles are $45$ and $70$
$^{Out of both largest angle is 70 o}$

The correct answer is: $70 to the power of ring operator end exponent$

We should find the largest anglei triangle by using given conditions

Hence choice 2 is correct

Related Questions to study

In figure $angle X equals 62 to the power of ring operator end exponent comma angle X Y Z equals 54 to the power of ring operator end exponent$ If YO and ZO are bisectors of $angle X Y Z$ and $angle X Z Y$ respectively of $capital delta X Y Z$ , find $angle Y O Z$

Hence choice 4 is correct

In figure $angle X equals 62 to the power of ring operator end exponent comma angle X Y Z equals 54 to the power of ring operator end exponent$ If YO and ZO are bisectors of $angle X Y Z$ and $angle X Z Y$ respectively of $capital delta X Y Z$ , find $angle Y O Z$

Hence choice 4 is correct

In figure if $Q T perpendicular P R comma angle T Q R equals 40 to the power of ring operator end exponent$ and $angle S P R equals 30 to the power of ring operator end exponent$ , find x and y.

Hence choice 2 is correct

In figure if $Q T perpendicular P R comma angle T Q R equals 40 to the power of ring operator end exponent$ and $angle S P R equals 30 to the power of ring operator end exponent$ , find x and y.

Hence choice 2 is correct

In Figure. PS is the bisector of $angle Q P R$ and $P T perpendicular Q R$ . Then $angle T P S$ is equal to

Hence Choice 2 is correct

In Figure. PS is the bisector of $angle Q P R$ and $P T perpendicular Q R$ . Then $angle T P S$ is equal to

Hence Choice 2 is correct

parallel

Two identical blocks A and B are placed on two inclined planes as shown in diagram. Neglect air resistance and other friction. Choose the correct statement:

Statement I: Kinetic energy of 'A' on sliding to J will be greater than the kinetic energy of B on falling to M.
Statement II: Acceleration of 'A' will be greater than acceleration of 'B' when both are released to slide on inclined plane. Statement III: Work done by external agent to move block slowly from position B to O is negative

Two identical blocks A and B are placed on two inclined planes as shown in diagram. Neglect air resistance and other friction. Choose the correct statement:

Statement I: Kinetic energy of 'A' on sliding to J will be greater than the kinetic energy of B on falling to M.
Statement II: Acceleration of 'A' will be greater than acceleration of 'B' when both are released to slide on inclined plane. Statement III: Work done by external agent to move block slowly from position B to O is negative

physics-General

Figure shows the roller coaster track. Each car will start from rest at point A and will roll with negligible friction. It is important that there should be at least some small positive normal force exerted by the track on the car at all points, otherwise the car would leave the track. With the above fact, the minimum safe value for the radius of curvature at point B is (g = 10 $m divided by s to the power of 2 end exponent$ ):

Figure shows the roller coaster track. Each car will start from rest at point A and will roll with negligible friction. It is important that there should be at least some small positive normal force exerted by the track on the car at all points, otherwise the car would leave the track. With the above fact, the minimum safe value for the radius of curvature at point B is (g = 10 $m divided by s to the power of 2 end exponent$ ):

physics-General

A collar 'B' of mass 2 kg is constrained to move along a horizontal smooth and fixed circular track of radius 5m. The spring lying in the plane of the circular track and having spring constant 200 $N divided by m$ is undeformed when the collar is at 'A'. If the collar starts from rest at B' the normal reaction exerted by the track on the collar when it passes through 'A' is:

A collar 'B' of mass 2 kg is constrained to move along a horizontal smooth and fixed circular track of radius 5m. The spring lying in the plane of the circular track and having spring constant 200 $N divided by m$ is undeformed when the collar is at 'A'. If the collar starts from rest at B' the normal reaction exerted by the track on the collar when it passes through 'A' is:

physics-General

parallel

The blocks A and B shown in the figure have masses $M subscript A end subscript equals 5 k g text and end text M subscript B end subscript equals 4 k g$ . The system is released from rest. The speed of B after A has travelled a distance 1 m along the incline is:

The blocks A and B shown in the figure have masses $M subscript A end subscript equals 5 k g text and end text M subscript B end subscript equals 4 k g$ . The system is released from rest. The speed of B after A has travelled a distance 1 m along the incline is:

physics-General

Two bodies of mass $m subscript 1 end subscript text and end text m subscript 2 end subscript open parentheses m subscript 2 end subscript greater than m subscript 1 end subscript close parentheses$ are connected by a light inextensible string which passes through a smooth fixed pulley. The instantaneous power delivered by an external agent to pull $m subscript 1 end subscript$ with constant velocity v is:

Two bodies of mass $m subscript 1 end subscript text and end text m subscript 2 end subscript open parentheses m subscript 2 end subscript greater than m subscript 1 end subscript close parentheses$ are connected by a light inextensible string which passes through a smooth fixed pulley. The instantaneous power delivered by an external agent to pull $m subscript 1 end subscript$ with constant velocity v is:

physics-General

A small block slides with velocity $0.5 square root of g r end root$ on the horizontal frictionless surface as shown in the figure. The block leaves the surface at point C. The angle q in the figure is:

A small block slides with velocity $0.5 square root of g r end root$ on the horizontal frictionless surface as shown in the figure. The block leaves the surface at point C. The angle q in the figure is:

physics-General

parallel

A bob hangs from a rigid support by an inextensible string of length $l text end text$ If it is displaced through a distance $l text . end text$ (from the lowest position) keeping the string straight & released, the speed of the bob at the lowest position is:

A bob hangs from a rigid support by an inextensible string of length $l text end text$ If it is displaced through a distance $l text . end text$ (from the lowest position) keeping the string straight & released, the speed of the bob at the lowest position is:

physics-General

The angle of rotation of the axes so that the equation $x plus y minus 6 equals 0$ may be reduced to the form $X equals 3 square root of 2 text is end text$

The angle of rotation of the axes so that the equation $x plus y minus 6 equals 0$ may be reduced to the form $X equals 3 square root of 2 text is end text$

By translation of axes the equation $x y minus x plus 2 y minus 6 equals 0 text changed as end text X Y equals c text then end text$ C=

By translation of axes the equation $x y minus x plus 2 y minus 6 equals 0 text changed as end text X Y equals c text then end text$ C=

parallel

In the adjoining figure $angle A B C equals angle B C D equals 90 to the power of ring operator end exponent comma angle D A B equals theta comma angle D B C equals ϕ$ AB = 14 units, BC = 12 units and BD = 13 units. Find the value of sec $theta$

In the adjoining figure $angle A B C equals angle B C D equals 90 to the power of ring operator end exponent comma angle D A B equals theta comma angle D B C equals ϕ$ AB = 14 units, BC = 12 units and BD = 13 units. Find the value of sec $theta$

Glycerol has:

Glycerol has:

chemistry-General

In the figure shown, the system is released from rest. Find the velocity of block m m A B P A when block B has fallen a distance $" l$ '. Assume all pulleys to be massless and frictionless.

In the figure shown, the system is released from rest. Find the velocity of block m m A B P A when block B has fallen a distance $" l$ '. Assume all pulleys to be massless and frictionless.

physics-General

parallel

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