Math Chapter Wise

EnglishHaryana PGT 2018

Q101.If the sum of the distances of point from two perpendicular lines in a plane is 1, then its locus is:

ACircle BStraight line CSquare DTwo intersecting lines

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EnglishHaryana TGT 2019

Q102.Slope of line 17x – 14y – 73 = 0 is equal to:

A−17/14 B14/17 C17/14 D−14/17

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EnglishHaryana PGT 2019

Q103.If vertex and base of an equilateral triangle be respectively (2, –1) and x + y = 2, then length of the side of this equilateral triangle will be:

A2/3 B3/2 C1/2 D5/6

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EnglishUKPSC Lecturer (Mains) 2020

Q104.The curve represented by the equation ax + by = 1is:

Aan ellipse Ba hyperbola Ca parabola Da circle

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EnglishUKPSC Lecturer (Mains) 2020

Q105.The equation of a straight line with positive gradient, which passes through the point (-5, 0) and is at distance 3 units from the origin, is:

A3x + 4y + 15 = 0 B3x – 4y + 15 = 0 C4x + 3y + 20 = 0 D4x – 3y + 20 = 0

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EnglishUKPSC Lecturer (Mains) 2020

Q106.Distance between the pair of parallel lines: 8x+ 15y – 34 = 0 and 8x+ 15y + 31 = 0 is:

A3 17 units B7 10 units C3 units D65 17 units

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EnglishHaryana PGT 2019

Q107.Let A (2,–3) and B (–2,1) be vertices of a ∆ ∆ ABC. If the centroid of this triangle moves on the line 2x+3y = 1, then the locus of the vertex C is the line

A2x+3y = 9 B2x–3y = 7 C3x+2y = 5 D3x–2y = 3

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EnglishHaryana TGT 2020

Q108.The coordinates of the orthocentre of the triangle formed by the lines 2x2 – 3xy + y2 = 0 and x + y = 1 are:

A1 1, 4 4 B1 1, 3 3 C1 1, 2 2 D(1,1)

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EnglishHaryana TGT 2020

Q109.The lines represented by the equation Ax2 + 2Bxy +Hy2 = 0 are perpendicular, if:

AAH = –1 BA+ B = 0 CB+ H = 0 DA+ H = 0

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EnglishHaryana TGT 2020

Q110.In what ratio is the line segment joining the point (–2,–3) and (3, 7) divided by y-axis?

A(2:3) B(3:0) C(–2:3) D(6:0)

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EnglishHaryana TGT 2020

Q111.The distance between the parallel lines y = 2x+4 and 6x = 3y + 5 is:

A1unit B17 5 15 unit C3 5 unit D17 5 unit

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EnglishHaryana TGT 2019

Q112.If the point P(2, 1) lies on the line segment joining points A(4, 2) and B(8, 4), then:

A1 AP AB 3 = BAP = BP C1 PB AB 3 = D1 AP AB 2 =

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EnglishHaryana TGT 2019

Q113.What is the area of the triangle formed by points (a, c + a), (a, c) and (–a, c – a)?

A1 Ba2 C2 2 a c + D2 2 c a +

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EnglishHaryana PGT 2018

Q114.Consider the following statements: S1: The equation ax2 + 2hxy + by2 + 2gx + 2fy + c = 0 represents a pair of straight lines. S2: The equation ax2 + 2hxy + by2 = 0 always represents a pair of straight lines passing through the origin. Which of the following is correct?

AIf S1 is true, S2 is always true BIf S1 is not true, then S2 is also not true CS2 is always true and S1 implies S2, if c = 0 DBoth S1 and S2 imply each other

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EnglishHaryana PGT 2018

Q115.Let PQR be a right angled isosceles triangle, right angled at P (2, 1). If the equation of line QR is 2x + y = 3, then the equation representing the pair of line PQ and PR is:

A2. 2 3x 3y 8xy 10x 15y 20 0 − − − − − = B2. 2 3x 3y 8xy 20x 10y 25 0 − + + + + = C2. 2 3x 3y 8xy 20x 10y 25 0 − + − − + = D2. 2 3x 3y 8xy 10x 15y 20 0 − + + + + =

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EnglishUP TGT-2016 (08-03-2019)

Q116.The angle of intersection of the curves y = 4 –x2 and y = x2 is

A-1 4 2 tan 7 B-1 2 tan 7 C-1 3 2 tan 7 Dπ/2

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EnglishUP TGT-2016 (08-03-2019)

Q117.The equation 2 2 6x 5xy 6y 14x 5y 4 0 − − + + + = − − + + + = − − + + + = − − + + + = represents

AA circle BA hyperbola CAn ellipse DA pair of perpendicular straight lines

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EnglishUP TGT-2016 (08-03-2019)

Q118.The conic x2 + xy + y2 + x + y = 1 is

Aan ellipse Ba hyperbola Ca parabola Da pair of straight lines

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EnglishUP TGT-2016 (08-03-2019)

Q119.The second degree equation 2x2 + 2y2 – 2x – 6y + 5 = 0 represents

AA circle Ban ellipse Ca point Dnone of the above

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EnglishUP TGT-2016 (08-03-2019)

Q120.If the equation 3x2 + 7xy + 2y2 + 5x + 5y + k = 0 represents a pair of straight lines, then the value of k is

A1 B2 C3 D4

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