Math Chapter Wise

EnglishHaryana PGT 2018

Q41.In a triangle ABC, ∠ π B = 3 and ∠ π C = 4. Let D divide BC internally in the ratio 1: 3, then: ∠ sin BAD = sin CAD

A2/3 B1/6 C1/3 D1/2

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EnglishUP TGT 2021

Q42.Two parallel chords of a circle of radius 5 cm are in opposite side of the centre and if the chords are at distances 3 cm and 4 cm from the centre, then the difference of the lengths of the chords is

A10 cm B5 cm C2 cm D1 cm

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EnglishUP TGT 2021

Q43.In the given figure O is the centre of the circle and ∠ ∠ ∠AOB = 70º then 70º – xº is equal to

A70º B35º C15º D25º

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EnglishUP TGT 2021

Q44.The sides of a triangle are 15 cm, 20 cm and 25 cm respectively, then the radius of in-circle is

A10 cm B12.5 cm C5 cm D7.5 cm

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EnglishUP TGT 2021

Q45.In the following figure AD is the tangent of the circle and ABC is secant. If AB = 4 cm and BC = 5 cm, then the length of tangent AD is

A3 cm B4 cm C5 cm D6 cm

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EnglishUP TGT 2021

Q46.In the figure ∠ ∠ ∠A is equal to

A70º B45º C80º D60º

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EnglishUP TGT 2021

Q47.In the following figure the value of θ is

A110º B70º C60º D50º

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EnglishHaryana TGT 2020

Q48.The interior angle of a regular polygon is:

A(n–2) ×180° B() n 2 180 n − × ° Cn 180 2 × ° D() n n 3 2 −

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EnglishHaryana TGT 2020

Q49.If an angle of a parallelogram is two- third of its adjacent angle, then smallest angle of the parallelogram is:

A140° B108° C54° D72°

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EnglishHaryana TGT 2020

Q50.The distance of the chord of length 16 cm from the centre of the circle of diameter 20 cm is:

A2 cm B4 cm C6 cm D8 cm

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EnglishHaryana TGT 2020

Q51.The height of an equilateral triangle having each side 12 cm is

A6 6 cm B3 6 cm C6 3 cm D6 2 cm

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EnglishHaryana TGT 2019

Q52.A conical tent has 60° angle at the vertex. The ratio of the radius and slant height is:

A1: 2 B1: 3 C1: 2 D1: 3

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EnglishHaryana TGT 2019

Q53.Two equal circle of radius r intersect such that each passes through the centre of the other. The length of the common chord of the circle is:

Ar B2r C3 r 2 D3r

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EnglishHaryana TGT 2019

Q54.In a ABC, C 3 B 2(A B), ∆ ∠ = ∠ = ∠ + ∠ then A, B ∠ ∠ and C ∠ are equal to:

A20°, 40°, 120° B30°, 60°, 90° C60°, 30°, 90° D10°, 45°, 125°

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EnglishHaryana TGT 2019

Q55.If A, B, C are three points of a circle with centre 'O' such that 0 AOB 90 ∠ = and 0 BOC 120 ∠ =, then ABC ∠ =

A60° B75° C90° D135°

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EnglishHaryana TGT 2019

Q56.In ABC,D ∆ ∆ is the mid point of BC and E is the mid-point of AD, then area of BED ∆ ∆ is equal to:

A1 areaof ABC 4 × ∆ B1 area of ABC 3 × ∆ C1 areaof ABC 5 × ∆ D2 areaof ABC 5 × ∆

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EnglishHaryana TGT 2019

Q57.Two isosceles triangles have equal angles and their areas are in the ratio of 16: 25. The ratio of their corresponding heights is:

A4: 5 B5: 4 C3: 4 D4: 3

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EnglishHaryana TGT 2019

Q58.In a quadrilateral ABCD, ∠ +∠ = A C 2 ∠ + ∠ (B D), if 0 140 ∠ = A and 0 60 ∠ = D then ∠ = B

A60° B80° C90° D120°

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EnglishPGT 2004

Q59.The triangle PQR is inscribed in the circle 2 2 25 x y + = + =. If Q and R have co-ordinates (3, 4) and (-4, 3) respectively, then ∠ ∠ ∠QPR is equal to

A2/π B3/π C4/π D6/π

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EnglishPGT 2002

Q60.Vertices of a ∆ ∆ ∆ABC are A(2,2), B(-4,-4). C(5,- 8). Then length of the median through C is:

A( )/65 B( )/117 C( )/85 D( )/113

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