Math Chapter Wise

EnglishDSSSB TGT & PGT (SECTION-B) 28 DEC 2014

Q161.The value of x for which the points (x,–1), (2,1) and (4,5) are collinear is–

A–1 B2 C1 DNone of these

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EnglishSECTION B PGT TIER-I 31.11.2014

Q162.The point (4,1) undergoes the following two successive transformations– (i) Reflection about the line y = x (ii) Translation through a distance 2 units along the positive x-axis Then the final co-ordinates of the point are

A(4, 3) B(3, 4) C(1, 4) D(1/2, 7/2)

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EnglishSECTION B PGT TIER-I 31.11.2014

Q163.A point equidistant from the lines 4x 3y 10 0, and 5x 12y 26 0 and 7x 24y 50 0 is–

A(1, –1) B(1, 1) C(0, 0) DNone of these

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q164.The inclination of the line x y 3 0 − + = − + = − + = − + = with the positive direction of x axis − − is–

A45 B135 C100 Dnone of these

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EnglishTGT 2003

Q165.Let P(a sec θ, b tan θ) and Q (a sec φ, b tan φ), where 2 π θ + φ = θ + φ = θ + φ = θ + φ = be two points on the hyperbola 2 2 x y a b − − = 1. If (h, k) is the point of intersection of the normal at P and Q then k is equal to

A2 (b) a + 2 a B2 b a + 2 -(a) C2 b + 2 (a) b D2 b + 2 -(a) b

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EnglishTGT 2003

Q166.If one of the lines of the pair ax2 +2hxy +by2 =0 bisects the angle between positive direction of the axis, then a, b, h satisfy the relation

Aa + b = 2 h Ba + b = –2h Ca – b = 2 h D(a – b)2 = 4h2

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EnglishTGT 2003

Q167.If the three lines x+y= 1, x–y=5 and 2x+3y=k are concurrent then value of k is:

A1 B–1 C0 D2

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EnglishTGT 2003

Q168.A line L passes through points (1,1) and (2, 0), Another line M which is perpendicular to L passes through the point 1,0 2, Then the area of the triangle formed by the lines L, M and y- axis is

A25/8 B25/16 C25/4 D25/32

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EnglishTGT 2001

Q169.A particle performing two simple harmonic motion (in mutually perpendicular direction) Both of the state have same frequency but with different amplitude and phase difference. What will be the path of the particle.

ACircular BParabolic CEllipse DHyperbola

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EnglishTGT 1999

Q170.The angle between the pair of linear equation 2y – 4x = 5 and y + 3x = 7 is-

A300 B600 C450 D900

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EnglishPGT 2011

Q171.The angle between the pair of straight lines x2 +4y2 –7xy=0 is

A1 1 tan 3 − B1 1 tan 2 − C1 33 tan 5 − D1 5 tan 33 −

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EnglishPGT 2011

Q172.The angle between the lines given by the equation λy2 +(1–λ2) xy–λx2 =0 is

A450 B600 C900 D300

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EnglishPGT 2011

Q173.If x2 –3xy+λy2 +3x–5y+2=0 represents pair of straight lines then the value of λ is

A1 B4 C3 D2

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EnglishPGT 2011

Q174.For what value of k is 4x2 +8xy+ky2 –9=0, the equation of a pair of straight lines?

A0 B4 C9 D–9

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EnglishPGT 2011

Q175.The point of intersection of the two lines given by 2x2 –5xy+2y2 –3x+3y+1=0 is;

A1 1, 2 3 B1 1, 7 7 − − C1 1, 3 7 − DNone of these

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EnglishPGT 2013

Q176.The point at which the tangent of the curve 2 2 2 3 0 + − − = + − − = + − − = + − − = x y x is parallel to X-axis will be?

A(0, 2), (0, 1) B(1, 2), (1, –2) C(1, 4), (1, –4) DNone of these

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EnglishPGT 2013

Q177.Eccentricity 'e' of a conic which represents an ellipse if-

Ae =1 B0<e<1 Ce>1 De=0

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EnglishPGT 2013

Q178.Line cos sin + = x y p α touches the circle 2 2 2 + = x y a if-

AP = a BP = sin α CP = cos α DP = –a

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EnglishPGT 2013

Q179.Angle between the straight lines 3 5 − = x y and 3 4 + = x y is-

A6/π B3/π C4/π D2/π

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EnglishPGT 2010

Q180.The area in XY-plane enclosed by 2|x|+3|y|≤6 is

A3 square unit B12 square unit C9 square unit D24 square unit

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