Designation of a curve is made by:
(A) Angle subtended by a chord of any length
(B) Angle subtended by an arc of specified length
(C) Radius of the curve
(D) Curvature of the curve
Description : A circle has radius √2 cm. It is divided into two segments by a chord of length 2cm.Prove that the angle subtended by the chord at a point in major segment is 45 degree . -Maths 9th
Last Answer : Given radius =2 cm Therefore AO=2 cm Let OD be the perpendicular from O on AB And AB =2cm Therefore AD=1cm (perpendicular from the centre bisects the chord) Now in triangle AOD, AO=2 cm ... by a chord at the centre is double of the angle made by the chord at any poin on the circumference)
Description : The radius of a simple circular curve is 300 m and length of its specified chord is 30 m. The degree of the curve is (A) 5.73° (B) 5.37° (C) 3.57° (D) 3.75°
Last Answer : (A) 5.73°
Description : If D is the degree of the curve of radius R, the exact length of its specified chord, is (A) Radius of the curve sine of half the degree (B) Diameter of the curve sine of half the ... Diameter of the curve cosine of half the degree (D) Diameter of the curve tangent of half the degree
Last Answer : (B) Diameter of the curve × sine of half the degree
Description : The difference in the lengths of an arc and its subtended chord on the earth surface for a distance of 18.2 km, is only (A) 1 cm (B) 5 cm (C) 10 cm (D) 100 cm
Last Answer : (C) 10 cm
Description : Degree of a road curve is defined as the angle in degrees subtended at the centre by an arc of (A) 10 metres (B) 20 metres (C) 25 metres (D) 30 metres
Last Answer : Answer: Option B
Description : A chord of a circle is equal to its radius. Find the angle subtended by this chord at a point in major segment. -Maths 9th
Last Answer : Given, AB is a chord of a circle, which is equal to the radius of the circle, i.e., AB = BO …(i) Join OA, AC and BC. Since, OA = OB= Radius of circle OA = AS = BO
Description : If is the length of a sub-chord and is the radius of simple curve, the angle of deflection between its tangent and sub-chord, in minutes, is equal to (A) 573 S/R (B) 573 R/S (C) 1718.9 R/S (D) 1718.9 S/R
Last Answer : (D) 1718.9 S/R
Description : If the long chord and tangent length of a circular curve of radius R are equal the angle of deflection, is (A) 30° (B) 60° (C) 90° (D) 120°
Last Answer : D
Description : If S, L and R are the arc length, long chord and radius of the sliding circle then the perpendicular distance of the line of the resultant cohesive force, is given by (A) a = S.R/L (B) a = L.S/R (C) a = L.R/S (D) None of these
Last Answer : (A) a = S.R/L
Description : For a curve of radius 100 m and normal chord 10 m, the Rankine's deflection angle, is (A) 0°25'.95 (B) 0°35'.95 (C) 1°25'.53 (D) 2°51'.53
Last Answer : (D) 2°51'.53
Description : If the radius of a simple curve is R, the length of the chord for calculating offsets by the method of chords produced, should not exceed. (A) R/10 (B) R/15 (C) R/20 (D) R/25
Last Answer : (C) R/20
Description : If the radius of a simple curve is 600 m, the maximum length of the chord for calculating offsets, is taken (A) 15 m (B) 20 m (C) 25 m (D) 30 m
Last Answer : (D) 30 m
Description : The radius of curvature provided along a transition curve, is (A) Minimum at the beginning (B) Same throughout its length (C) Equal to the radius of circular curve (D) Varying from infinity to the radius of circular curve
Last Answer : Answer: Option D
Description : Rankine's deflection angle in minutes is obtained by multiplying the length of the chord by (A) Degree of the curve (B) Square of the degree of the curve (C) Inverse of the degree of the curve (D) None of these
Last Answer : (A) Degree of the curve
Description : If a circle is divided into eight equal parts, find the angle subtended by each arc at the centre. -Maths 9th
Last Answer : Total angle at centre = 360° When divided into eight part, Angle subtended by each arc = 360 / n8 = 45°
Description : Which one of the following statements is correct? (A) (B) The cone subtended by an area on the sphere at the centre, is called the solid angle (C) The solid angle is equal to the ratio of the area on the sphere and the square of the radius of the sphere (D) All of these
Description : The radius of curvature of the arc of the bubble tube is generally kept (A) 10 m (B) 25 m (C) 50 m (D) 100 m
Last Answer : (D) 100 m
Description : If degree of a road curve is defined by assuming the standard length of an arc as 30 metres, the radius of 1° curve is equal (A) 1719 m (B) 1146 m (C) 1046 m (D) 1619 m
Last Answer : Answer: Option A
Description : Transition curves are introduced at either end of a circular curve, to obtain (A) Gradually decrease of curvature from zero at the tangent point to the specified quantity at the junction of the ... specified amount at the junction of the transition curve with main curve (D) None of these
Last Answer : (B) Gradual increase of super-elevation from zero at the tangent point to the specified amount at the junction of the transition curve with main curve
Description : In an ideal transition curve, the radius of curvature (A) Is constant (B) At any point is directly proportional to its distance from the point of commencement (C) Is inversely proportional to the radius of main curve (D) Is directly proportional to the radius of main curve
Last Answer : Answer: Option C
Description : The angle of intersection of a curve is the angle between (A) Back tangent and forward tangent (B) Prolongation of back tangent and forward tangent (C) Forward tangent and long chord (D) Back tangent and long chord
Last Answer : (A) Back tangent and forward tangent
Description : In a 2-D CAD package, clockwise circular arc of radius, 5, specified from P1 (15,10)to P2 (10,15)will have its center at a.(10, 10) b.(15, 10) c.(15, 15) d.(10, 15)
Last Answer : a.(10, 10)
Description : If the length of a transition curve to be introduced between a straight and a circular curve of radius 500 m is 90 m, the maximum deflection angle to locate its junction point, is (A) 1°43' 08" (B) 1°43' 18" (C) 1°43' 28" (D) 1°43' 38"
Last Answer : (C) 1°43' 28"
Description : If the radius of a main curve is 300 m and length of the transition curve is 100 m, the angle with tangent to locate the junction point, is (A) 1° 11' (B) 2° 11' (C) 3° 11' (D) 4° 11'
Description : The sensitiveness of a level tube decreases if (A) Radius of curvature of its inner surface is increased (B) Diameter of the tube is increased (C) Length of the vapour bubble is increased (D) Both viscosity and surface tension are increased
Last Answer : (D) Both viscosity and surface tension are increased
Description : The sensitivity of a bubble tube can be increased by (A) Increasing the diameter of the tube (B) Decreasing the length of bubble (C) Increasing the viscosity of liquid (D) Decreasing the radius of curvature of tube
Last Answer : (A) Increasing the diameter of the tube
Description : A chord of a circle of radius 20 cm subtends an angle of 90° at the centre. Find the area of the corresponding major segment of the circle. -Maths 10th
Last Answer : Area of the minor segment = { pi × 90 /360 - sin 45 × cos 45 } × r × r ={ 3.14 ×1/4 - 1÷√2 ×1÷√2 } × 20 × 20 = { 3.14 ... Area of major segment = area of circle - area of minor segment = 1256 - 114 = 1142 HOPE IT HELPS YOU
Description : A chord of a circle of radius 7.5 cm with centre 0 is of length 9 cm. Find its distance from the centre. -Maths 9th
Last Answer : ∵ PM = MQ = 1/2 = PQ = 45 cm and OP = 7.5 cm In right angled ΔOMP, using phthagoras theorem OM2 = OP2 - PM2 ⇒OM2 = 7.52 - 4.52 ⇒OM2 = 56.25 - 20.25 ⇒OM2 = 36 ∴ OM = √36 = 6 cm
Description : Find the length of a chord which is at a distance of 12 cm from the centre of a circle of radius 13 cm. -Maths 9th
Last Answer : Let AB be a chord of circle with centre O and radius 13cm. Draw OM perpendicular AB and join OA. In the right triangle OMA, we have OA2 = OM2 + AM2 ⇒ 132 = 122 + AM2 ⇒ AM2 = 169 - 144 ... . As the perpendicular from the centre of a chord bisects the chord.Therefore, AB = 2AM = 2 x 5 = 10cm.
Description : The radius of a circle is 13 cm and the length of one of its chords is 24 cm. Find the distance of the chord from the centre. -Maths 9th
Last Answer : Let PQ be a chord of a circle with centre O and radius 13cm such that PQ = 24cm. From O, draw OM perpendicular PQ and join OP. As, the perpendicular from the centre of a circle to a chord bisects the chord. ∴ PM ... Hence, the distance of the chord from the centre is 5cm.
Description : Point A(5, 1) is the centre of the circle with radius 13 units. AB ⊥ chord PQ. B is (2, –3). The length of chord PQ is -Maths 9th
Last Answer : (c) ParallelogramAB = \(\sqrt{(4-7)^2+(5-6)^2}\) = \(\sqrt{9+1}\) = \(\sqrt{10}\)BC = \(\sqrt{(7-4)^2+(6-3)^2}\) = \(\sqrt{9+9}\) = \(3\sqrt2\)CD =\(\sqrt{(4-1)^2+(3-2) ... = \(2\sqrt{13}\)AB = CD, BC = AD and AC ≠ BD ⇒ opposite sides are equal and diagonals are not equal. ⇒ ABCD is a parallelogram.
Description : The radius of a circle is 10cm. The length of a chord is 12 cm. Then the distance of the chord from the centre is `"__________________"`.
Last Answer : The radius of a circle is 10cm. The length of a chord is 12 cm. Then the distance of the chord from the centre is `"__________________"`.
Description : If the perpendicular bisector of a chord AB of a circle PXAQBY intersects the circle at P and Q, prove that arc PXA = arc PYB. -Maths 9th
Last Answer : Let AB be a chord of a circle having centre at OPQ be the perpendicular bisector of the chord AB, which intersects at M and it always passes through O. To prove arc PXA ≅ arc PYB Construction Join AP and BP. Proof In ... ΔBPM, AM = MB ∠PMA = ∠PMB PM = PM ∴ ΔAPM s ΔBPM ∴PA = PB ⇒arc PXA ≅ arc PYB
Description : If the perpendicular bisector of a chord AB of a circle PXAQBY intersects the circle at P and Q, then prove that arc PXA ≅ arc PYB. -Maths 9th
Last Answer : Solution :- Let AB be a chord of a circle having centre at O. Let PQ be the perpendicular bisector of the chord AB intersect it say at M. Perpendicular bisector of the chord passes through the centre of the circle,i. ... = PM (Common) ∴ △APM ≅ △BPM (SAS) PA = PB (CPCT) Hence, arc PXA ≅ arc PYB
Description : The mathematical perception of the gradient is said to be a) Tangent b) Chord c) Slope d) Arc
Last Answer : c) Slope
Description : For setting out a simple curve, using two theodolites. (A) Offsets from tangents are required (B) Offsets from chord produced are required (C) Offsets from long chord are required (D) None of these
Last Answer : (D) None of these
Description : The chord of a curve less than peg interval, is known as (A) Small chord (B) Sub-chord (C) Normal chord (D) Short chord
Last Answer : (B) Sub-chord
Description : A current `i` ampere flows in a circular arc of wire whose radius is `R`, which subtend an angle `3pi//2` radian at its centre. The magnetic induction
Last Answer : A current `i` ampere flows in a circular arc of wire whose radius is `R`, which subtend an angle `3pi//2` radian at ... 0)i)/(R )` D. `3mu_(0)i)/(8R)`
Description : In a circle of radius 14 cm, an arc subtends an angle of 45 O at the centre, then the area of the sector is (a) 71 cm 2(b) 76 cm 2 (c) 77 cm 2 (d) 154 cm 2
Last Answer : (c) 77 cm 2
Description : 1. Find the focal length of a convex mirror whose radius of curvature is 32 cm. -Physics-10
Last Answer : Radius of curvature (R) = 32 cm Radius of curvature = 2 × Focal length (f) R= 2f f = R/2 = 32/2 = 16 Therefore, the focal length of the given convex mirror is 16 cm.
Description : 2. The radius of curvature of a spherical mirror is 20 cm. What is its focal length? -Physics-10
Last Answer : Radius of curvature (R) = 20 cm Radius of curvature of the spherical mirror = 2 × Focal length (f) R = 2f f= R/2 = 20 / 2 = 10 Therefore, the focal length of the spherical mirror is 10 cm.
Description : The focal length of a plano-convex lens is 20 cm in air. Refractive index of glass is 1.5. Calculate (i) the radius of curvature of lens surface and (
Last Answer : The focal length of a plano-convex lens is 20 cm in air. Refractive index of glass is 1.5. ... length when immersed in liquid of refractive index 1.6
Description : The focal length of a double convex lens is equal to radius of curvature of either surface. The refractive index of its material is
Last Answer : The focal length of a double convex lens is equal to radius of curvature of either surface. The refractive index of its material is
Description : If the radius of curvature of concave mirror is 12 cm. Then, the focal length will be : (a) 12 cm (b) 6 cm (c) -24 cm (d) -6 cm
Last Answer : (b) 6 cm
Description : The cutoff wavelength of matched-clad and depressed-clad single mode fibers varies according to the fiber's radius of curvature and length. The cutoff wavelength of which single mode fiber type is more sensitive to length
Last Answer : Depressed-clad.
Description : The distance between Pole and Focus is called a) principal axis b)focal length c)radius of curvature d)centre of curvature
Last Answer : b)focal length