Math Chapter Wise

EnglishOAVS TGT 2017

Q81.The point (6, 0) divides the line joining (5, –2) and (9, 6) in the ratio:

A1: 3 B2: 3 C3: 2 D1: 2

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EnglishOAVS TGT 2017

Q82.A line makes an angle 60º with the y-axis as shown in the figure, which of the following is false?

AThe slope of the line is positive BThe line makes an angle 30º with the x-axis CThe line passes through both x-axis and y- axis DThe slope of the line is negative

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EnglishOAVS TGT 2017

Q83.The arc length of a sector is 4 cm, find the area of the sector if radius is 5 cm:

A25 cm2 B10 cm2 C40 cm2 D20 cm2

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EnglishOAVS TGT 2017

Q84.The lines x – 2y = 0 and 3x + 4y = 20 meet at:

A(2, 4) B(4, 2) C(4, 3) D(3, 4)

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EnglishOAVS TGT 2017

Q85.Two lines with slopes m1 and m2 are perpendicular then, which of the following is true?

Am1×m2 = 0 Bm1 = m2 C1 2 m –1 m = Dm1×m2 = –1

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EnglishOAVS TGT 2017

Q86.The line passing through (–3, 1) and (2, 1) lies in which of these quadrants?

A3 and 4 B2 and 3 C1 and 4 D1 and 2

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EnglishOAVS TGT 2017

Q87.The distance between points (3, 4) and (–1, 4) is:

A3 B4 C10 D6

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EnglishOAVS TGT 2017

Q88.If two lines are parallel then how many solutions an there?

ANo solution BFinite solutions CInfinite solutions DOne solution

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EnglishKVS TGT 2017

Q89.If the pair of straight lines xy–x–y+1 = 0 and the line ax+2y–3 = 0 are concurrent, then a =

A–1 B0 C3 D1

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EnglishKVS TGT 2017

Q90.The area of the triangle formed by the lines y = x, y = 2x and y = 3x + 4 is–

A4 sq. units B7 sq. units C9 sq. units D8 sq. units

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EnglishKVS TGT 2017

Q91.The angle between the lines 2x2 –7xy+3y2 =0 is–

A600 B450 C300 D1 7 tan 6

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EnglishKVS TGT 2017

Q92.The value of k such that the equation 2 2 2x 2y 6x 8y k 0 represents a point circle, is–

A0 B25 C25/2 D25/2

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EnglishKVS TGT 2017

Q93.The perpendicular distance of the origin from the line 3x + 4y + 1 = 0 is–

A–1 B1 C1/5 D1/5

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EnglishKVS TGT 2017

Q94.A straight line which makes an angles of 600 with y and z axes inclines with x – axis at an angle–

A450 B300 C750 D600

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EnglishKVS TGT 2017

Q95.The shortest distance between the lines x 1 y 2 z 3 2 3 4 and x 2 y 4 z 5 3 4 5 is–

A1/6 B1/6 C1/3 D1/3

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EnglishKVS TGT 2017

Q96.The foot of perpendicular from (0, 2, 3) to the line x 3 y 1 z 4 5 2 3 is–

A(–2, 3, 4) B(2, –1, 3) C(2, 3, –1) D(3, 2, –1)

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EnglishHaryana PGT 2020

Q97.The centroid of a triangle formed by the lines x = 0, y = 0 and x + y – 1 = 0 is:

A2 2, 3 3 B2 0, 3 C1 1, 3 3 D2 0, 3

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EnglishHaryana PGT 2020

Q98.Equation of a line passing through the point (a, b) and the point of intersection of lines ax + by = ab and bx + ay = ab, will be (where a ≠ b):

Aa2 x + b2 y = ab(a + b) Ba2 y – b2 x = ab (a + b) Ca2 y – b2 x = ab (a – b) Da2 x + b2 y = ab (a – b)

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EnglishUKPSC GIC 2018

Q99.The equation of a straight line which passes through the intersection point of the lines 3x – 4y + 1 = 0 and 5x + y – 1 = 0, and cuts intercepts of equal length from the axes is

A23x + 23y = 11 B23x – 23y = 11 Cx –y = 11 D23x – 23y = 1

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EnglishUKPSC Lecturer (Mains) 2020

Q100.If P(1,2), Q(4,6), R(5,7) and S(a,b) are the vertices of a parallelogram PQRS, then (a,b)=

A(2,4) B(3,4) C(2,3) D(3,5)

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