Math Chapter Wise

EnglishUP TGT-2016 (08-03-2019)

Q121.If the foot of the perpendicular drawn from (–2, 1, 0) on a plane is (1, –2, 1), then the equation of the plane is

A3x+3y+z=10 B3x+3y–z=10 C3x–3y+z=10 D3x–3y–z=10

Show answer

EnglishUP TGT-2016 (08-03-2019)

Q122.If AB is diameter of the circle x2 + y2 + 2x + 4y – 3 = 0. If co-ordinates of A are (1,0), then co- ordinates of B are

A(–3, 1) B(–3, 2) C(–3, 3) D(–3, –4)

Show answer

EnglishUP TGT-2016 (08-03-2019)

Q123.The angle between the straight lines represented by the equation y2 – xy – 6x2 = 0 is

A300 B600 C450 D650

Show answer

EnglishUP TGT-2016 (08-03-2019)

Q124.In the conic 1 ecos r = + θ = + θ = + θ = + θ ℓ, the sum of the reciprocals of the segments of any focal chord is

A1/ℓ B3/ℓ C4/ℓ D2/ℓ

Show answer

EnglishUP TGT-2016 (08-03-2019)

Q125.The co-ordinates of the mid points of sides of a triangle are (5, 2), (3, 3) and (2, 2). Co- ordinates of its centroid are-

A7 10, 3 3 B10 7, 3 3 C7 2, 3 3 D2 7, 3 3

Show answer

EnglishNVS PGT 10-06-2019

Q126.AB is a straight line and O is a point on the line AB. If one draws a line OC NOT coinciding with OA or OB, then the ∠ ∠ ∠AOC and ∠ ∠ ∠BOC are:

Asupplementary Btogether equal to 1300 Cequal Dcomplementary

Show answer

EnglishNVS PGT 10-06-2019

Q127.The incentre of a triangle with vertices (0, 0), (1, 3) and (2, 0) is:

A1 1, 3 B2 1, 3 3 C3 1, 2 D2 3, 3 2

Show answer

EnglishNVS PGT 10-06-2019

Q128.The distance between two parallel lines 5x–12y+2=0 and 5x–12y–3=0 is given by

A1/17 B1/13 C5/13 D5/14

Show answer

EnglishKVS PGT 23-12-2018

Q129.If A and B are the point with co-ordinates (–3, 4) and (2, 1) respectively, then the co- ordinates of C on line AB produced such that AC=2BC are:

A(3, 7) B(7, 3) C(7, –2) D1 5, 2 2 −

Show answer

EnglishKVS PGT 23-12-2018

Q130.The distance of the point P(4, 1) from the line 4x–y=0 measured along the line making an angle of 1350 with the positive direction of x-axis is:

A2 3 B3 2 C4 2 D2

Show answer

EnglishKVS PGT 23-12-2018

Q131.The equation of a line, whose segment between the lines 5x–y+4=0 and 3x+4y–4=0 is bisected at the point (1, 5) is:

A89x 199y 1084 0 + − = B89x 199y 806 0 + − = C3x 107y 92 0 − + = D107x 3y 92 0 − − =

Show answer

EnglishUP PGT-2016 (02-02-2019)

Q132.Equation 9x2 + 2hxy +4y2 +6x+2fy=3 represents two parallel lines if (h+f) is equal to

A2 B6 C8 D0

Show answer

EnglishUP PGT-2016 (02-02-2019)

Q133.The centre of the conic 2 2 5x 6xy 5y 22x 26y 29 0 − + + − + = − + + − + = − + + − + = − + + − + = is

A(–1, 1) B(–1, 2) C(2, 2) D(0, 3)

Show answer

EnglishUP PGT-2016 (02-02-2019)

Q134.Centre of circle passing through the points (2, 0), (0, 6) and (5, 1) is

A3,1 2 B(2, 3) C5,2 2 D5 7, 2 2

Show answer

EnglishUP PGT-2016 (02-02-2019)

Q135.If the slope of one of lines represented by 2 2 ax 6xy y 0 − + = − + = − + = − + = is square of the slope of the other line, then the value of 'a' are

A8, –27 B–8, 27 C6, –24 D–6, 24

Show answer

EnglishUP PGT-2016 (02-02-2019)

Q136.Distance of the point P(1, –2) from the centre of the circle x = 2+3cosθ, y = –4 +3 sinθ is

A7 B5 C3 D2

Show answer

EnglishUP PGT-2016 (02-02-2019)

Q137.The equations of the lines bisecting the angles between the pair of lines 2 2 3x xy 2y 0 + − = + − = + − = + − = is

A2 2 x 10xy y 0 − − = B2 2 x 10xy y 0 + − = C2 2 x 10xy y 0 + + = D2 2 x xy y 0 + − =

Show answer

EnglishUP PGT-2016 (02-02-2019)

Q138.The equation of a plane containing x-axis is

Aax+by = 0 Bby+cz=0 Cax+cz = 0 Dx+y+z=0

Show answer

EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q139.Let there be a straight line L. No. of straight lines passing through point (P) which is parallel to line 'L' are-

A1 B2 C0 DInfinite

Show answer

EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q140.There are the two straight lines in the xy plane coinciding each other, represents the pair of straight lines in x and y then what will be the pair of straight line representing the two straight line in the plane-

AHas a unique solution BHas infinitely many solution CHas no possible solution DIs inconsistent

Show answer