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Mathematics II
For Class X (Science Group)
Guess Paper 2024
By Sir Sajjad Akber ChandioSets And Functions
Q.1: If A = {1,2,3,4…..10 }, B={2,4,6,8,10}, U= {1,2,3…….12 } verify Demorgan’s law (AUB)’= A'∩B'Q.2: Find x and y (x+5, 8) and (9, y-6)
Q.3: A = {1,2,5}, B = {2,4,6}, C= {2,4}. Then prove that:
- A∆B = (AUB) - (A∩B)
- A∩B x B∩C
Variations
Matrices And Determinants
Basic Statistics
Q1: find the mean, Mode, Medium, G.M, H.M, of electricity consumption (in kWh) of a shop for 60 days.Q2: If x= 51,55,52,54,58,60,61,62,52,57,52,64. Find mean, median, mode, valiance, range, G.M, H.M.
Pythagoras’s Theorem
Q1: a=15cm, b=12cm, c= 13cmIntroduction To Trigonometry
Q1: from the top of a light house 102m high a measure of the angle of depression of a ship is 18°30’. How far is the ship from the light house?Q2: A ladder makes angle 60° with the ground and reached the height of 6m on the wall, find the length of the ladder?
Q3: Find the angle of elevation when a 6m high bamboo makes a shadow of length 2√3 m?
Q4: Find the remaining trigonometric functions ∫ ratios: if,
Theory Of Quadratic Equations
Q1: Show that:- (1+Ɯ)(1+ Ɯ2)(1+ Ɯ4)(1+ Ɯ8) = (Ɯ + Ɯ2)4
- (a+ Ɯb+ Ɯ2c)(a+ Ɯ2b+ Ɯc) = a2+b2+c2-ab-ba-ca
Q3: The roots of the equation on 5x2-7x+k-2 = 0 satisfy the relation 2α+5β= 1.
Practical Geometry Circles
Q1: Construct the ∆ABC and draw its circumcircle in each case.- mAB = 5.5cm, mAC = 6 cm and m∠A = 50°
- mAB = 6cm, mBC = 4.5cm and mAC = 5cm
a)Draw direct common tangent to this circle.
b) Draw transverse common tangents to these circles.
Partial Fraction
- x2 + 7x + 3/x2(x + 3)
- 6x – 5 / (x2 + 10) (x + 1)
Theorem
Long1: If the square of one side of triangle is equal to the sum of the squares of the other two sides, then the triangle is a right angled triangle. Prove it. (23.2 pg. 177)
2: If two circles touch externally, the distance between their centres is equal to the sum of their radii. Prove it. (26.4 case a pg. 217)
Short
1: Prove that one and one circle can pass through three vertices of triangle. (Example 1 chap 25 pg. 198)
2: Perpendicular from the centre of the circle to chord bisect it (25.3 pg. 200)
3: The angled in a segment greater than the semi-circle is less than a right angle. (28.3b pg. 237)
4: If the angles subtended by two chords of a circle (or congruent circles) at the Centres (corresponding centres) are equal, the chords are equal. Prove it.
5: A line parallel to one side of triangle and intersecting the other two sides, divides them proportionally. Prove it.
Mcqs of other units???
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DeleteJAZAKALLAH
Thanks for uploading all Mcqs.
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JAZAKALLAH
DeleteThanks for uploading this preperation paper❤
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