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 −

Show answer

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)

Show answer

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)

Show answer

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 + =

Show answer

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

Show answer

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

Show answer

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

Show answer

EnglishEMRS TGT-2023

Q08.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

Show answer

EnglishEMRS TGT-2023

Q09.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

Show answer

EnglishEMRS TGT-2023

Q10.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)

Show answer

EnglishEMRS TGT-2023

Q11.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 =

Show answer

EnglishEMRS TGT-2023

Q12.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

Show answer

EnglishEMRS TGT-2023

Q13.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

Show answer

EnglishEMRS TGT-2023

Q14.If a parallelogram circumscribes a circle, then the parallelogram is a:

ASquare BRectangle CRhombus DTrapezium

Show answer

EnglishEMRS TGT-2023

Q15.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

Show answer

EnglishKVS PGT 2023

Q16.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

Show answer

EnglishKVS PGT 2023

Q17.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)

Show answer

EnglishKVS PGT 2023

Q18.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

Show answer

EnglishNVS PGT 2022

Q19.For 0 ≤ x ≤ 4, y = x - 2 represents:

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

Show answer

EnglishNVS PGT 2022

Q20.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

Show answer