Math Chapter Wise

EnglishNVS PGT 2022

Q21.The angle of intersection of the curve y = 4 − x2 and y = x2 is:

A1 4 2 tan 7 − B1 2 tan 7 − C1 3 2 tan 7 − D2/π

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EnglishKVS PGT 2022

Q22.Equation of the line passing through (1, 2) and parallel to the line y=4x−1 is:

Ay−4x=2 B4x+y=−2 C4x−y=2 D4x+y=2

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EnglishOAVS TGT 2022

Q23.Which of the following is the farthest point from (1, 1)?

A(3, 2) B(3, –2) C(–3, –2) D(2, –3)

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EnglishOAVS TGT 2022

Q24.The y-intercept of a line is –3 and it is perpendicular to the line 3x – 2y + 5 = 0. The equation of the line is:

A2x + 3y + 9 = 0 B–2x – 3y + 9 = 0 C2x – 3y – 9 = 0 D2x – 3y + 9 = 0

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EnglishOAVS TGT 2022

Q25.If A (3, x), B(2, 7) and C(−1, 4) and D(0, 6) are the points such that AB||CD, then x = _______.

A9 B8 C12 D6

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EnglishOAVS TGT 2022

Q26.The value of k for which the pair of equations 3x + 4y + 2 = 0 and 9x +12y + k = 0 represent coincident lines are:

A2 B12 C3 D6

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EnglishOAVS TGT 2022

Q27.The point of intersection of the lines 2x + 3y – 5 = 0 and 3x – 4y + 1 = 0 lies in which quadrant?

AIV BIII CI DII

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EnglishRPSC PGT 2022

Q28.The condition that the gradient of one line is twice the gradient of the other line represented by the equation ax2 + 2hxy + by2 = 0 is

Aab = 8 2 h 3 Bab = 4 2 h 3 Cab = 4 2 h 9 Dab = 8 2 h 9

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EnglishRPSC PGT 2022

Q29.If one of the line of the pair of lines a2 x2 +4h xy +b2 y2 = 0 bisects the angle between positive part of coordinate axes, then-

Aa2 + b2 = –2h Ba2 + b2 = –4h Ca2 + b2 = +4|h| Da2 – b2 = –4h

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EnglishDSE TGT 2022

Q30.Distance of the point (-2,5) from y-axis

A–2 B5 C2 D–5

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EnglishDSE TGT 2022

Q31.Equation of a straight line can be expressed by using a

Alinear equation Bquadratic equation Ccubic equation Dbiquadratic equation

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EnglishDSE TGT 2022

Q32.What is the equation of the line joining the points (3,4) and (−5, −6)?

A5x-4y+1=0 B5x+4y+1=0 C5x+4y-1=0 D5x-4y-1=0

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EnglishDSE TGT 2022

Q33.Which of the given points in the x-axis is equidistant from the points (2, −5) and (−2,9)?

A(5,0) B(−5,0) C(7,0) D(−7,0)

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EnglishDSSSB PGT 2021

Q34.The equation 3x2 +2xy+3y2 –16x+20 = 0 represents-

AA parabola BAn ellipse CA circle DA hyperbola

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EnglishDSSSB PGT 2021

Q35.For what value of a, the equation axy–8x+9y– 12 = 0 represents a pair of straight lines?

Aa = 6 Ba = 0, 6 Ca = 0, 2 Da = 0

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EnglishDSSSB PGT 2021

Q36.The equation of the bisectors of the angle between the lines x2 –4xy–y2 = 0 is -

Ax2 –y2 –2xy = 0 Bx2 –y2 +xy = 0 Cx2 –y2 –xy = 0 D2x2 –2y2 +xy = 0

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EnglishOAVS TGT 2021

Q37.If the point (–4, 6) divides internally the line segment joining the points (–6, 10) and (x, y) is the ratio 2: 7, then find the value of x3 – y3.

A679 B579 C639 D539

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EnglishOAVS TGT 2021

Q38.Equation of straight line with slope 2/3 and passing through the point (0, 5/3) is:

A2y = 3x + 5 B3y = 2x – 5 N M C3y = 2x + 5 D2y = 3x – 5

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EnglishOAVS TGT 2021

Q39.______ is the co-ordinate of a point on x-axis, which is a distance of 4 units from the points (4,–4).

A(–4, 0) B(4, 0) C(0, 4) D(0, –4)

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EnglishOAVS TGT 2021

Q40.Find a relation between x and y such that point (x, y) is equidistant from the points (6, 5) and (–4, 3).

A5x – y = –9 B5x + y = 9 C5x + y = –9 D5x – y = 9

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