WILL MARK BRAINLIEST: WHICH ARE MOST IMPORTANT QUESTIONS FOR CBSE BOARD 10TH EXAM MATHS CHAPTER WISE ( 2 QUESTIONS FROM EACH ) ...............?plz do answer
Answers
1)real number
a) prove that root2 is irrational
b) use Euclids division algorithm to find HCF of 960 & 432
2) polynomial
a) obtain all the zeros of quadratic polynomial
root3x²-8x+4root3 and verify the relationship between it's zero and coefficient.
b) find the cubic polynomial with the sum, sum of the products of its zeros taken two at a time, and the product of its zeros as -3,-8 and 2.
3)linear equations in two variables
a) for what value of k will the pair of linear equations have no solution :- 3x+y=1
( 2k-1)x+(k-1)y=2k+1
b) a fraction becomes 1/3 when 1 is subtracted from the numerator and becomes 1/4 when 8 is added to its denominator. find the fraction.
4) quadratic equations
a) solve the quadratic equation
2x²+ax-a²=0 for x
b) the sum of the squares of two consecutive odd numbers is 394.Find the numbers
5) A. P
a) how many terms of the AP 18,16,14.... be taken so that they sum is zero?
b) divide 56 into four parts which are in Ap such that the ratio of product of extremes to the product of means is 5:6
6) coordinate geometry
a) check whether (5,-2) ,(6,4),and (7,-2) are the vertices of an isosceles triangle.
b) if the two adjacent vertices of a parallelogram are (3,2)&(-1,0) and the diagonals intersect at (2,-5) then find the coordinates of the other two vertices.
7) triangle
a) prove that in a right angled triangle the square of the hypotenuse is equal to the sum of squares of the two other sides.
b) prove that the area of an equilateral triangle described on one side of a square is equal to half the area of the equilateral triangle described on one of its diagonals.
8) circles
a) prove that the tangents drawn at the ends of a diameter of a circle are parallel.
b) prove that the opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.
9)constructions :- whole chapter is important
10) trigonometry
a) if 3cot A=4, check whether
1-tan²theta/1+tan²theta =cos²A-sin²A or not.
b) prove
1/secA-1+1/secA+1=2cosecAcotA
11) heights and distance
a) the angle of elevation of a jet plane from a point A on the ground is 60degree's. After a fight of 15 seconds the angle of elevation changes to 30degrees.
If the jet plane is flying at a constant height of 1500root3 meter, find the speed of the jet plane.
b) A kite is flying at the height of 75m from the ground level, attached to a string inclined at an angle of 60degree to the horizontal. find the length of the string.
12) areas related to circle
a) the wheels of a car are of diameter 80cm each. How many complete revolutions does each wheel make in 10 minute's when the car is traveling at a. speed of 66 km/hr.?
b) two circles touch externally. the sum of their is 130pie sq.cm
and the distance between their centers is 14cm. find the radii of the circles.
13) volume and surface area
a) a toy is in the form of a cone of radius 3.5cm mounted on a hemisphere of same radius.Total height of the toy is 15.5cm. Find the total surface area of the toy.
b) two cubes of volume 64cm³ are joined end to end. Find the surface area of the resulting cuboid.
14)statictics:- whole chapter it's very easy
15) probability :-whole chapter it's also too easy.
this is ur answer :)