Math Guess Paper Class 12

Very Important Multiple Choice Questions (MCQs), Short Questions and Long Questions in the form of Math Guess Paper Class 12 written by Professor Mr. Adan Haider Suib. These notes are very helpful in the preparation of Mathematics for the students of the intermediate and these are according to the paper patterns of all Punjab boards.

• Here are the detailed Math Guess Paper Class 12 to help you prepare for your exams.
• Most Important multiple choice questions of Mathematics class 12th repeated from previous 20 past papers of all the Punjab Boards. 
•  State Taylor’s series expansion.
• To find optimal solution we evaluate the objective function at. (a) one point (b) origin (c) some points (d) corner points
• (3, 2) is not in the solution of inequality: (a) x + y > 2   (b) x - y > 1   (c) 3x + 5y > 7   (d) 3x + 5y < 7
• The solution set of the inequality ax + by < c is the: (a) Parabola (b) Half plane (c) Circle  (d) Hyperbola
• If m1 and m2 are slopes of two parallel lines then: (a) m1m2 = -1 (b) m1 = -m2 (c) m1 = m2 (d) m1m2 = 1
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• If the dot product of two vectors is zero then the vectors will be: (a) Perpendicular (b) Parallel (c) Collinear (d) None of these
• The solution set of the inequality ax + by < c is the: (a) Parabola (b) Half plane (c) Circle (d) Hyperbola
• Expand cosx by Maclaurin’s series expansion.
• Define Increasing and decreasing functions.
• Find the approximate increase in the volume of a cube if the length of its each edge changes from 5 to 5.02
• Find the approximate increase in the area of a circular disc if its diameter is increased form 44cm to 44.4cm. 
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• Show that the points 𝐴(3,1), 𝐵(−2, −3) and 𝐶(2,2) are vertices of an isosceles triangle.
• Find the mid-point of the line segment joining the vertices 𝐴(−8,3), 𝐵(2, −1).
• Show that the vertices (−1,2) , 𝐵(7,5), 𝐶(2, −6) are vertices of a right triangle.
• Find the points trisecting the join of 𝐴(−1, −4) and 𝐵(6,2).
• Find ℎ such that (−1, ℎ) , 𝐵(3,2), 𝑎𝑛𝑑 𝐶(7,3) are collinear.
• Describe the location in the plane of point 𝑃(𝑥, 𝑦) for which x = 𝑦.
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• The 𝑥𝑦-coordinate axes are translated through point 𝑂′ whose coordinates are given in 𝑥𝑦 −coodinate system. The coordinates of 𝑃 are given in the 𝑋𝑌 −coodinate system. Find the coordinates of 𝑃 in 𝑥𝑦-coordiante system if (−5, −3) , 𝑂 ′ (−2,3).
• Define Homogenous equation. Write down the joint equation.
• Define direction angles and direction cosines of a vector
• Define focal chord of parabola.
• Define parabola.
• Define trapezium.
• Define unit vector. 
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• Find an equation of the perpendicular bisector joining the points 𝐴(3,5) and 𝐵 (9,8)
• Find an equation of the perpendicular bisector of the segment joining the points 𝐴 (3,5) and B (9,8)
• Find equations of the sides, altitudes and medians of the triangle whose vertices are A (−3,2), B(5,4) and C (3, −8).
• Find equation of the circle passing through A(𝑎, 0), B(0, 𝑏) and C(0,0)
• Find an equation of the parabola with focus (1,2) and vertex (3,2),
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• Write an equation of the circle that passes through the point 𝐴(𝑎, 0), 𝐵(0, 𝑏), 𝐶 (0,0),
• Write an equation of the circle that passes through the points 𝐴(4,5), 𝐵(−4, −3), and C(8, −3). 
• Find coordinates of the point that divide the join of and in the ratio 2 : 3 internally.
• Show that the triangle with vertices A (1, 1), B (4, 5) and is right triangle.
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• Find an equation of the line through and perpendicular to the line having slope .
• Check the position of the point (5, 6) with respect to the circle .
• Find eccentricity of the ellipse x² + 4y² = 16.
• Find an equation of hyperbola if its foci and directrices .
• If , find coordinates of point A. If B, C, D are (1, 2).