Math Chapter Wise

EnglishRajasthan TGT 2016

Q61.If the arcs of the same length in two circles subtend angles of 600 and 750 at their respective centres, then ratio of their radius is

A3:4 B5:4 C4:3 D4:5

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EnglishJharkhand TGT 2017

Q62.If A(5, 4, 6), B(1, –1, 3) and C(4, 3, 2) are three points then the co-ordinates of the point in which the bisector of ∠ ∠ ∠BAC meets the side BC is

A23 3 19,, 8 2 8 B23 3 19,, 8 8 8 C7 8,,0 3 3 − D38 57 17,, 16 16 16

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EnglishUP PCS (Pre) 2009

Q63.If P(0, 0), Q(2, 0) and R(0, 8) be the mid points the sides of a triangle ABC, then the area of the triangle ABC is

A12 B16 C24 D32

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EnglishGIC Lecturer Exam- 2015

Q64.For what value of a does the line segment joining the points (0,0) and (a,0) sub tangent a right angle at the point (1,1)?

A–1 B2 C3 D2

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EnglishTGT 2010

Q65.In a triangle ABC, ∠ ∠ ∠B is 90°, BD is perpendicular to AC. If AD = a, CD = b, then AB2 is

Aa (a+b) Bb(a+b) Cc (b–a) Dab

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EnglishOAVS TGT 2021

Q66.For the linear equation x + 2y = 10, x – intercept is:

A15 B10 C5 D7

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EnglishOAVS TGT 2019 DSSSB 23 SEP 2018 (9 AM-11 AM)

Q67.If the point (x, y) is equidistant from the point (a+b, b–a) and (a–b, a+b), then which of the following holds:

Abx = ay Bbx + ay = 0 Cby + ax = 0 Dby = ax

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EnglishOAVS TGT 2019

Q68.If 3a + 2b + 6c = 0, the family of straight lines ax + by + c = 0 passes through a fixed point whose coordinates are given

A1 1, 3 2 B(2,3) C(3, 2) D1 1, 2 3

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EnglishOAVS TGT 2019

Q69.The points (0, –1), (–2, 3), (6, 7) and (8, 3) are:

ACollinear points BVertices of a Trapezium but not a parallelogram CVertices of a parallelogram which is not a square DVertices of a parallelogram which in not a rectangle

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EnglishOAVS TGT 2019

Q70.If the angle A of a triangle ABC is given by the equation 3 cosA+2 = 0, sin A and tan A are the roots of the equation:

A2 6x – 5 5x 5 0 + = B2 6x – 5x 5 0 + = C2 6x 5x – 5 0 + = D2 6x 5 5x – 5 0 + =

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EnglishOAVS TGT 2019

Q71.The solution (x,y) of the simultaneous equations px + qy + r = 0, lx + my + n = 0, is given by:

Ax y 1 pm pr n pq m = − − − lq l l Bx y 1 mp pn qn m = − − − ql lr r Cx y 1 nq n pn pm q = − − − r lr l Dx y 1 nq m r pn pm q = − − − r l l

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EnglishOAVS TGT 2019

Q72.Graph of the line passing through point (0,4) with slope of line as 1/4 is:

AImage/diagram option A BImage/diagram option B CImage/diagram option C DImage/diagram option D

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EnglishOAVS TGT 2019

Q73.The coordinates of point which trisects the line segment joining (1, –2) and (–3, 4) are:

A1 5,0,,2 3 3 B1 5,0,,2 3 3 C1 5,0,,2 3 3 D1 5,0,,2 3 3

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EnglishOAVS TGT 2018

Q74.The point of intersection of the lines x + y = 1 and x – y = 1. is:

A(1, 1) B(0, 0) C(0, 1) D(1, 0)

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EnglishOAVS TGT 2018

Q75.For what value of k to equations 3x – y + 8 = 0 and 6x – ky + 16 = 0 represent coincide lines?

A1/2 B2 C1/2 D–2

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EnglishOAVS TGT 2018

Q76.The distance between two points (3, –2) and (6, 4) is:

A4 B3 C3 5 D5

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EnglishOAVS TGT 2018

Q77.The slope of the line perpendicular to the line 2y + 6x = 24 is:

A1/4 B1/2 C1/3 D1

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EnglishOAVS TGT 2018

Q78.The joint equation of the bisector of the angles between the lines represented by ax2 + 2hxy + by2 = 0 is:

A2 2 2 x y xy a h B2 2 x y xy a b h C2 2 x y xy h a b D2 2 x y xy a b h

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EnglishOAVS TGT 2018

Q79.The midpoint of the line joining (4, –2) and (–8,6) is:

A(2, –2) B(–2, 3) C(–2, 2) D(–2, 1)

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EnglishOAVS TGT 2017

Q80.Find the angle between x-axis and the line joining (3, –1) and (4, –2).

A45º B270º C90º D135º

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