Math Chapter Wise

EnglishRajasthan TGT 2011 UPPCS (Pre) 1994

Q201.The equation of line passing through the point of intersection of lines x y 1 a b + = + = and x y 1 b a + = and through the origin is

Ax y 0 + = Bax by 0 − = Cbx ay 0 − = Dx y 0 − =

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EnglishJharkhand TGT 2017

Q202.The centroid of the triangle ABC is at the point (1, 1, 1). If the co-ordinates of A and B are (3,– 5, 7) and (–1, 7,–6) respectively, then the co- ordinates of the point C is

A(1, 1, 2) B(1, –5, 7) C(1, 2, 2) D(3, 2, 1)

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EnglishKVS TGT DEC 2017

Q203.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 DEC 2017

Q204.The normal to a given curve is parallel to x– axis

Ady 0 dx Bdy 1 dx Cdx 1 dy Ddx 0 dy

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EnglishTGT 2013

Q205.If m is the slope of the tangent to the curve ey = 1 + x2 then,

A|m| > 1 Bm < 1 C|m| < 1 D|m| ≤ 1

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EnglishTGT 2011

Q206.Both the roots of the quadratic equation x2 +px+q=0 are 1 and 2 then what will be roots of the equation 2 qx – px +1 = 0.

A1, 1 2 B1, 1 2 − − C1,1 2 − D1 1, 2 −

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EnglishTGT 2011

Q207.The center of any circle inscribed in a triangle is determined by-

AThrough perpendiculars BThrough the angle bisectors CThrough the medians DPerpendicular bisectors of the sides

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EnglishTGT 2011

Q208.The solutions of the equation 3x–4y=5 and 12x– 16y=20 will be

ANo common solution BOnly one common solution COnly two common solution DMore than two common solution

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EnglishUP PCS (Pre) 1998

Q209.If S is a pole, S S' is the initial line, S S' = 2 ae and a point P moves in such a way that SP + S' P = 2a, where 0 < e < 1, then the locus of P is:

A() 2 a 1 e 1 ecos r − = − θ B() 2 a 1 e 1 ecos r − = + θ C() 2 a 1 e 1 ecos r − = − θ D() () 2 a 1 e 1 ecos r − = + θ

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EnglishUP PCS (Pre) 1999 / PGT 2013

Q210.For 0≤x≤4, y = x - 2 represents:

Aa straight line Ba circle of radius 2 Ca hyperbola Da pair of straight line segments

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EnglishUP PCS (Pre) 1999

Q211.The locus of the point (x, y) equidistant from the points (–1, 1) and (3, –2) is:

A4x+2y–11 = 0 B4x–2y+11 = 0 C8x–6y–11 = 0 D8x+6y–11 = 0

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EnglishUP PCS (Pre) 2000

Q212.The foot of the perpendicular from the point (2, 3) on the line x + y – 11 = 0 is:

A(1, –1) B(1, 6) C(1, 5) D(5, 6)

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EnglishUP PCS (Pre) 2001

Q213.The co-ordinates of the centre of the conic x2 –xy–y2 –6x+3y+5=0 are:

A(3, 3) B12,1 5 C(3, 0) D12, 1 5 −

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EnglishUP PCS (Pre) 2001

Q214.The second degree equation ax2 +2hxy+by2 +2gx +2fy+c = 0 represents a pair of parallel lines if:

Ah2 =ab, af2 =bg2 Bh2 =ab, bg=af Ch2 =ab, ag2 =bf2 Dh2 =ab, ag=bf

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EnglishUP PCS (Pre) 2003

Q215.The equation of the tangent line to the parabola 2 y x which is perpendicular to the line 2x 3y 4 is–

A6x 9y 1 B6y 9x 4 C6x 9y 4 D6y 9x 1

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EnglishUP PCS (Pre) 2004

Q216.A line passes through (2,2) and is perpendicular to the line 3x+y = 3 then the y-intercept is–

A1/3 B2/3 C1 D4/3

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EnglishUP PCS (Pre) 2004

Q217.Area of the triangle formed by lines y x 0, y x 0, x c 0 is given by–

A2 1 c 2 B2/c C2/2c Dnone of the above

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EnglishUP PCS (Pre) 2005

Q218.If the equation a b + = 1 x -a x -b has two roots equal in magnitude and opposite in sign, then the value of (a+b) is:

A0 B1 C–1 DNone of the above

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EnglishUP PCS (Pre) 2006

Q219.Which of the following points lie outside the ellipse 2 2 x y 1 a b + = + =:

A(a,b) B(0,b) C(–a.0) D(a,0)

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EnglishUP PCS (Pre) 2006

Q220.The conic, whose focus is the pole and directrix is the line θ= 900 is

Aa pair of straight lines Ba parabola Can ellipse Da hyperbola

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