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
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 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 : 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 : Minimum radius of a simple circular curve deflecting through 5°, is (A) 1618.9 m (B) 1816.9 m (C) 1718.9 m (D) 1817.9 m
Last Answer : Answer: Option C
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 : 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 : The tangent length of a simple circular curve of radius R (A) R tan (B) R tan (C) R sin (D) R sin
Last Answer : Answer: Option B
Description : Pick up the correct statement from the following: (A) Long tangent sections exceeding 3 km in length should be avoided (B) Curve length should be at least 150 metres for a deflection angle of 5 ... decrease in the deflection angle, 30 metre length of curve to be increased (D) All the above
Last Answer : Answer: Option D
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 : 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 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 : 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
Last Answer : (C) Radius of the curve
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 : 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 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 : 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 : If the radii of a compound curve and a reverse curve are respectively the same, the length of common tangent (A) Of compound curve will be more (B) Of reverse curve will be more (C) Of both curves will be equal (D) None of these
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 : 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 : 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 : In a lemniscate curve the ratio of the angle between the tangent at the end of the polar ray and the straight, and the angle between the polar ray and the straight, is (A) 2 (B) 3 (C) 4/3 (D) 3/2
Last Answer : (D) 3/2
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 : The total length of a valley formed by two gradients - 3% and + 2% curve between the two tangent points to provide a rate of change of centrifugal acceleration 0.6 m/sec2 , for a design speed 100 kmph, is (A) 16.0 m (B) 42.3 m (C) 84.6 m (D) None of these
Description : If N is deviation angle the length L of a parabolic vertical curve for overtaking sight distance S, is (A) NS²/9.6 if L > S (B) NS²/9.6 if L < S (C) 2S - 9.6/N if L < S (D) Both (A) and (C)
Description : If R is the radius of a main curve and L is the length of the transition curve, the shift of the curve, is (A) L/24 R (B) L2 /24 R (C) L3 /24 R (D) L4 /24 R
Description : If L is the length of a moving vehicle and R is the radius of curve, the extra mechanical width b to be provided on horizontal curves, (A) L/R (B) L/2R (C) L²/2R (D) L/3R
Description : Perpendicular offset from a tangent to the junction of a transition curve and circular curve is equal to (A) Shift (B) Twice the shift (C) Thrice the shift (D) Four times the shift
Last Answer : (D) Four times the shift
Description : A lemniscate curve will not be transitional throughout, if its deflection angle, is (A) 45° (B) 60° (C) 90° (D) 120°
Last Answer : (A) 45°
Description : Describe the method of setting out simple curve by using the method of offset from long chord with sketch.
Last Answer : Given data: Direction of two straights, chainage of point of intersection, radius of curve. Procedure: 1) Set theodolite over B and measure deflection angle Ф 2) Calculate tangent length by ... equal to tangent length. 4) Divide long chord into even number of equal parts.
Description : If V is speed in km/hour and R is radius of the curve, the super-elevation e is equal to (A) V²/125 R (B) V²/225 R (C) V²/325 R
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
Description : The ratio of maximum deviation angle and maximum polar deflection angle of a Lemniscate curve, is A) 2 (B) 3 (C) 4 (D) 5
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 : When a mass is rotating in a plane about a fixed point, its angular momentum is directed along: (1) the tangent to the orbit (2) a line perpendicular to the plane of rotation (3) the line making an angle of 45° to the plane of rotation (4) the radius
Last Answer : (2) a line perpendicular to the plane of rotation
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 : The mathematical perception of the gradient is said to be a) Tangent b) Chord c) Slope d) Arc
Last Answer : c) Slope
Description : Find the point on the curve` y^(2) = x` at which the tangent drawn makes an angle of `45^(@)` from X-axis.
Last Answer : Find the point on the curve` y^(2) = x` at which the tangent drawn makes an angle of `45^(@)` from X-axis.
Description : Which one of the following statements is not correct? (A) The tangent of the angle of friction is equal to coefficient of friction (B) The angle of repose is equal to angle of ... coefficient of friction (D) The sine of the angle of repose is equal to coefficient to friction
Last Answer : (D) The sine of the angle of repose is equal to coefficient to friction
Description : Tangent of angle of friction is equal to (A) Kinetic friction (B) Limiting friction (C) Angle of repose (D) Coefficient of friction
Last Answer : (D) Coefficient of friction
Description : The angle of internal friction of soil mass is the angle whose (A) Tangent is equal to the rate of the maximum resistance to sliding on any internal inclined plane to the normal pressure acting on ... on any internal inclined plane to the normal pressure acting on the plane (D) None of these
Description : A closely coiled helical spring of radius R, contains n turns and is subjected to an axial load W. If the radius of the coil wire is r and modulus of rigidity of the coil material is C, the deflection of the coil is (A) WR3n/Cr4 (B) 2WR3n/Cr4 (C) 3WR3n/Cr4 (D) 4WR3n/Cr
Last Answer : (D) 4WR3n/Cr
Description : The given figure shows a circle with centre O in which a diameter AB bisects the chord PQ at the point R. If PR = RQ = 8 cm and RB = 4 cm, then find the radius of the circle. -Maths 9th
Last Answer : Let r be the radius, then OQ = OB = r and OR = (r - 4) ∴ OQ2 = OR2 + RO2 ⇒ r2 = 64 + (r-4)2 ⇒ r2 = 64 + r2 + 16 - 8r ⇒ 8r = 80 ⇒ r = 10 cm
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 : 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 : 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 `"__________________"`.