Math Chapter Wise

EnglishTGT 2001

Q121.A Circle 2 2 x y 4x 7y 12 0, + + − + = + + − + = + + − + = + + − + = intersects the Y-axis, then the length of the intersected portion is.

A1 B3 C4 D7

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EnglishTGT 2001

Q122.If 2 2 12x 10xy 2y 11x 5y 0 − + + − + λ = − + + − + λ = − + + − + λ = − + + − + λ = represents the pair two straight lines then what will be the value of λ.

A1 B4 C3 D2

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EnglishTGT 2001

Q123.At which point of the curve 2 y 2x x 1 = − + = − + = − + = − + will the tangent line drawn be parallel to y 3x 9 = + = +.

A(3, 9) B(2, –1) C(2, 1) D(1, 2)

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EnglishTGT 2001

Q124.Parametric equation of curve x = et cost, y = et sint then the angle made at the point. π t = 4 the tangent made to the x-Axis at.

A0 B4/π C3/π D2/π

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EnglishPGT 2011, 2005

Q125.The number of asymptotes of the curve 2 2 a b 1 x y − = − = is:

A2 B3 C4 D1

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EnglishPGT 2011

Q126.The centre of the circle passing through (0, 0), (a, 0) and (0, b) is:

A(a, b) Ba b, 2 2 Ca b, 2 2 − − D(–a,–b)

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EnglishPGT 2011

Q127.If the equation ax2 +2hxy+by2 +2gx+2fy+c=0 represents a circle then the condition will be:

Aa = b and c = 0 Bf = g and h = 0 Ca = b and h = 0 Df = g and c = 0

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EnglishPGT 2011

Q128.The centre of a circle passing through the points (0,0), (1,0) and touching the circle x2 +y2 =9 is

A3 1, 2 2 B1 3, 2 2 C1 1, 2 2 D1, 2 2 −

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EnglishPGT 2011

Q129.Equation of the circle which touches 3x+4y=7 and passes through (1,–2) and (4,–3) is:

Ax2 +y2 –94x+18y+55=0 B15x2 +15y2 –94x+18y+55=0 C15x2 +15y2 +94x+18y+55=0 Dx2 +y2 –94x–18y+55=0

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EnglishPGT 2011

Q130.Equation of circle which passes through (3, 6) and touches the axes is:

Ax2 +y2 +6x+6y+3= 0 Bx2 +y2 –6x–6y–9=0 Cx2 +y2 –6x–6y+9=0 DNone of these

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EnglishPGT 2011

Q131.The circle x2 +y2 +x+y=0 and x2 +y2 +x–y= 0 intersect at an angle of

A6/π B4/π C3/π D2/π

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EnglishPGT 2011

Q132.The length of tangent from (0,0) to the circle 2(x2 +y2) + x–y+5=0 is

A5 B5/2 C2 D5/2

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EnglishPGT 2011

Q133.The parametric co-ordinates of any point on the parabola y2 =4ax can be:

A(–at2, –2at) B(at2, 2at) C(a sin2 t, 2a sin t) D(a sin t, –2a sin t)

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EnglishPGT 2011

Q134.The vertex of the parabola x2 +2y= 8x–7 is

A7 4, 2 B9 4, 2 C9,4 2 D(1,0)

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EnglishPGT 2011

Q135.The focus of the parabola y2 –4y–8x+4=0 is

A(1, 1) B(1, 2) C(2, 1) D(2, 2)

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EnglishPGT 2011

Q136.If the focus of a parabola is at (0,–3) and directrix is y=3, then its equation is:

Ax2 = –12y Bx2 =12y Cy2 = –12x Dy2 =12x

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EnglishPGT 2011

Q137.The length of the latus rectum of the parabola whose focus is (3,3) and directrix is 3x–4y–2=0

A2 B1 C4 DNone of these

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EnglishPGT 2011

Q138.The length of latus rectum of the ellipse 3x2 +y2 –12=0 is:

A4 B3 C8 D4/3

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EnglishPGT 2011

Q139.The eccentricity of an ellipse 2 2 x y 1 a b + = whose latus rectum is half of its major axis is:

A1/2 B2/3 C3/2 DNone of these

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EnglishPGT 2011

Q140.The eccentricity of the ellipse 9x2 +5y2 –30y=0 is:

A1/3 B2/3 C3/4 DNone of these

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