Math Chapter Wise

EnglishRajasthan TGT 2011

Q201.if y 4x 5 = − = − is a tangent to the curve 2 3 y px q = + = + at point (2,3), then

Ap 2,q 7 = − Bp 2,q 7 = − = Cp 2,q 7 = − = − Dp 2,q 7 =

Show answer

EnglishJharkhand TGT 2017

Q202.If the normal to the curve ay2 =x3 (a≠0) at a point on it makes equal intercepts with the co- ordinate axes, then the x co-ordinate of the point is

A−4a/9 B4a C4a/9 D9a

Show answer

EnglishJharkhand TGT 2017

Q203.The equation of the normal at 'θ' on the hyperbola 2 2 x y 1 a b is

Ax y sec tan 1 a b θ − θ = B2 2 ax by a b sec tan − = − θ C2 2 ax by a b sin cos − = + θ D2 2 ax by a b sec tan

Show answer

EnglishJharkhand TGT 2017

Q204.For the focal chord PQ and focus S of the parabola y2 =4ax, if SP=l and SQ=l' then 1 1 ' + = l l

A1/a Ba C4a D1/e

Show answer

EnglishJharkhand TGT 2017

Q205.The condition for a straight line y=mx+c to be a tangent to the ellipse 2 2 x y 1 a b + = + = is

Ac2 =a2 m2 +b2 Bc2 =a2 m2 –b2 Cc= a/m Dc2 =a2 +b2

Show answer

EnglishJharkhand TGT 2017

Q206.The equations of the tangents to the hyperbola 3x2 –4y2 =12 which are perpendicular to the line y=x–7 are

Ay=±x–7 By = x±1 Cx+y=±1 D3y±7=0

Show answer

EnglishJharkhand TGT 2017

Q207.The pole of the line x–y+2=0 with respect to the ellipse x2 +2y2 –4x+12y+14=0 is

A(3,1) B6 17, 7 7 − C1 1, 2 4 D() 5,2

Show answer

EnglishKVS TGT DEC 2017

Q208.The angle between the lines 2x2 –7xy+3y2 =0 is–

A600 B450 C300 D1 7 tan 6

Show answer

EnglishKVS TGT DEC 2017

Q209.The value of k such that the equation 2 2 2x 2y 6x 8y k 0 represents a point circle, is–

A0 B25 C25/2 D25/2

Show answer

EnglishKVS TGT DEC 2017

Q210.The length of latus rectum of the ellipse 5x2 +9y2 = 45 is–

A10/3 B5/3 C5 5/3 D10 5/3

Show answer

EnglishKVS TGT DEC 2017

Q211.The two tangents, perpendicular to each other, to the parabola y2 = 4ax intersect on the line–

Ax = a Bx + a = 0 Cx + 2a = 0 Dx – 2a = 0

Show answer

EnglishUP TGT-2016 (08-03-2019)

Q212.The curve represented by the equations x = 3 (cost + sint) y = 4 (cost - sint) is

AA straight line BA circle CA hyperbola DAn ellipse

Show answer

EnglishUP TGT-2016 (08-03-2019)

Q213.If the straight line xcos ysin p, α + α = α + α = α + α = α + α = is tangent to the ellipse 2 2 x y 1 a b + = + = then

A2 2 2 a b p = 4 Bp2 = a2 cos2 α - b2 sin2 α Cp2 = a2 cos2 α + b2 sin2 α DNone of these

Show answer

EnglishUP TGT-2016 (08-03-2019)

Q214.The equation of a normal to the parabola y2 = 4x which passes through the point (6, 0) is

Ay+2x=12 By–2x=12 Cy+2x=6 Dy–2x=6

Show answer

EnglishUP TGT-2016 (08-03-2019)

Q215.The length of the common chord of two circles of radii 15cm and 20cm, whose centres are 25cm apart, is (in cm)

A10 B12 C20 D24

Show answer

EnglishUP TGT-2016 (08-03-2019)

Q216.The eccentricity of the ellipse, whose latusrectum is one-half of its minor axis is

Aa/3 B3/2 C3/2 D2/3

Show answer

EnglishKVS PGT 23-12-2018

Q217.The area (in square units) of the triangle formed by the two ends of a latus rectum and a focus of the ellipse 2 2 x y 1 16 4 + = + =, is:

A2 3 B8 3 C4 3 D16 3

Show answer

EnglishKVS PGT 23-12-2018

Q218.The curve for which the normal at every point passes through a fixed point is a:

Apair of straight lines Bcircle Cparabola Dellipse

Show answer

EnglishKVS PGT 23-12-2018

Q219.The equation of a circle passing through the origin is 2 2 x y 6x 2y 0 + − + = + − + = + − + = + − + =. The equation of one of its diameter is:

Ax+3y=0 Bx+y = 0 Cx=y D3x+y=0

Show answer

EnglishUP PGT-2016 (02-02-2019)

Q220.The equation r(6–4 cos θ) = 5 represents

Aa parabola Ban ellipse Ca hyperbola Da circle

Show answer