Math Chapter Wise

EnglishEMRS PGT-2023

Q01.If a vertex of a triangle is (1, 1) and the mid- points of two sides through this vertex are (–1, 2) and (3, 2), then the cantroid of the triangle is:

A7 1, 3 − B1 7, 3 3 C7 1, 3 D1 7, 3 3 −

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EnglishEMRS PGT-2023

Q02.The straight line whose sum of intercepts on the axes is equal to half of the product of the intercepts, pass through the point:

A(2, 2) B(3, 3) C(4, 4) D(1, 1)

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EnglishEMRS PGT-2023

Q03.Two consecutive sides of a parallelogram are 2x + y = 0 and x + 2y = 0. If the equation of a diagonal is x – y + 3 = 0, then the other diagonal passes through the point:

A(–2, –2) B(1, 4) C(2, 2) D(2, –2)

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EnglishEMRS PGT-2023

Q04.A line intersects the coordinate axes such that the middle point of the portion of the line intercepted between the axes is (3, 2). The equation of line is:

A3x 2y 12 + = B4x 3y 6 − = C5x 2y 10 − = D2x 3y 12 + =

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EnglishBihar (TRE 2.0)-2023

Q05.The perpendicular distance from the point (3, - 4) to the line 3x - 4y +10 = 0 is

A17 B9 C7 DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q06.The equation of a line that passes through the points (1, 5) and (2, 3) is

A2x + y + 7 = 0 B2x - y - 7 = 0 C2x + y - 7 = 0 DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q07.The difference of the slopes of two parallel lines is

A-1 B0 C1 DMore than one of the above ENone of the above

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EnglishBihar (TRE 1.0) -2023

Q08.Find the shortest distance between the lines x - 8 y + 9 z -10 = 3 -16 7 and x -15 y - 29 z - 5 = 3 8 -5

A16 B14 C15 DMore than one of the above ENone of the above

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EnglishEMRS TGT-2023

Q09.A triangle with vertices (4, 0), (–1, 1) and (3, 5) is:

Aisosceles but not right angled triangle Bright angled but not isosceles triangle Cneither right angled nor isosceles triangle Disosceles right triangle

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EnglishEMRS TGT-2023

Q10.Two circles touch each other externally at P. AB is a direct common tangent touching them respectively at A and B, then ∠ ∠ ∠APB is:

A60º B90º C45º D30º

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EnglishEMRS TGT-2023

Q11.If P and Q are the points with coordinates (–3, 4) and (2, 1) respectively, then the coordinates of the point R on PQ produced such that PR = 2QR are:

A(3, 7) B(7, –2) C1 5 –, 2 3 D(2, 4)

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EnglishEMRS TGT-2023

Q12.If in two triangles DEF and PQR, ∠ ∠ ∠D = ∠ ∠ ∠Q and ∠ ∠ ∠R = ∠ ∠ ∠E, then which of the following is not true?

ADE EF PQ RP = BDE DF QR PQ = CEF DE RP QR = DEF DF PR PQ =

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EnglishEMRS TGT-2023

Q13.ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ∠ ∠ADC = 140º, then ∠ ∠ ∠BAC is equal to:

A50º B40º C30º D80º

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EnglishEMRS TGT-2023

Q14.The ratio in which the line segment joining the points (5, –2) and (0, 7) is divided by the point 5,4 3 is:

A1: 3 B2: 1 C3: 2 D1: 2

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EnglishEMRS TGT-2023

Q15.If a parallelogram circumscribes a circle, then the parallelogram is a:

ASquare BRectangle CRhombus DTrapezium

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EnglishEMRS TGT-2023

Q16.A square circumscribes a circle and another square is inscribed in the circle such that one vertex is at the point of contact. The ratio so the areas of the circumscribed and the inscribed squares is:

A2: 1 B3: 1 C4: 1 D1: 1

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EnglishKVS PGT 2023

Q17.The equation of the straight line passing through the point (3, 2) and perpendicular to the line y = x will be:

Ax + y = 1 Bx - y = 1 Cx - y = 5 Dx + y = 5

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EnglishKVS PGT 2023

Q18.The point (4, 1) undergoes the following two successive transformations: (i) Reflection about the line y = x (ii) Translation through a distance 2 units along the positive x-axis. final coordinate of the point will be:

A7 7, 2 2 B(3, 4) C(4, 3) D(1, 4)

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EnglishKVS PGT 2023

Q19.The equation of a straight line passing through (1, 2) and perpendicular to x + y + 1 = 0 is:

Ay - x + 1 = 0 By + x + 1 = 0 Cy - x - 1 = 0 Dx - y + 2 = 0

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EnglishNVS PGT 2022

Q20.For 0 ≤ x ≤ 4, y = x - 2 represents:

AA straight line BA circle with radius 2 CA hyperbola DA pair of straight line segments

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