2010 CBSE X MATHS GUESS PAPER IMPORTANT QUESTIONS

CBSE 2010 CLASS X MATHS IMPORTANT QUESTIONS GUESS PAPERS

Rational Numbers.. Write the condition to be satisfied by p/q so that a rational number has a terminating decimal expansion.

Quadrataic Equation For what value of k the quadratic equation x2 - kx + 4 = 0 has equal roots?

Polynomial The sum and product of the zeroes of a quadratic polynomial are - ½ and -3 repectively. What is the quadratic polynomial? Ans: sum = α + β = -b/a = -1/2 , so b/a=1/2 product = αβ=- c/a = -3 = -6/2 So a=2,b=1,c=-6 2x2+x-6

Cone An open container made up of a metal sheet is in the form of a frustum of a cone of height 8cm with radii of its lower and upper ends as 4 cm and 10 cm respectively. Find the cost of oil which can completely fill he container a the rate of Rs. 50 per litre. Also, find the cost of metal used, if it costs Rs. 5 per 100 cm2 (Use π = 3.14)

Sphere and Cylinder A solid is composed of a cylinder with hemispherical ends. If the whole length of the solid is 100cm and the diameter of the hemispherical ends is 28cm. find the cost of polishing the surface of the solid at the rate of 5 paise per sq.cm.

Tan From the top and foot of a tower 40m high, the angle of elevation of the top of a light house is found to be 30° and 60° respectively. Find the height of the lighthouse. Also find the distance of the top of the lighthouse from the foot of the tower.

Linear Equations Form a pair of linear equations in two variables using the following information and solve it graphically. Five years ago, Sagar was twice as old as Tiru. Ten year later Sagar’s age will be ten years more than Tiru’s age. Find their present ages. What was the age of Sagar when Tiru was born?

Triangle Prove that in a triangle, if the square of one side is equal to the sum of the squares of the other two sides the angle opposite to the first side is a right angle. Using the converse of above, determine the length of an attitude of an equilateral triangle of side 2 cm.

Point to point Find a relation between x and y such that the point P(x,y) is equidistant from the points A(2, 5) and B(-3, 7) Adsense

Lines Find the ratio in which the line segment joining the points A (3, -6) and B(5,3) is divided by x - axis. Also find the coordinates of the point of intersection.

A circle touches the side BC of a Triangle ABC at a point P and touches AB and AC when produced at Q and R respecively. Show that AQ = ½(Perimeter of Triangle ABC)

Tangents Construct a circle whose radius is equal to 4cm. Let P be a point whose distance from its centre is 6cm. Construct two tangents to it from P.

Quadaratic Find he value of k so that the following quadratic equation has equal roots: 2x2 - (k -2) x+1 =0

Rational Numbers Show that 3+5√2 is an irrational number.

Speed and Velocity If a student had walked 1km/hr faster, he would have taken 15 minues less to walk 3 km. Find the rate at which he was walking.

X Power 4 What are the quotient and the remainder, when 3x4 + 5x3 - 7x2 + 2x + 2 is divided by x2 + 3x + 1?

Quadaratic Write a quadratic polynomial, sum of whose zeroes is 2√3 and their product is 2.

Watch this Quadratic equations (Press full screen) Uploaded on authorSTREAM by WiZiQ Adsense

The coordinates of the vertices of Triangle ABC are A(4, 1), B (-3, 2) and C (0, k) Given that the area of ABC is 12 unit2, find the value of k.

Probability Justify the statement : “Tossing a coin is a fair way of deciding which team should get the batting first at the beginning of a cricket game.”

A.P. If the 10th term of an A.P. is 47 and its first term is 2, find the sum of its first 15 terms.

Probability A die is thrown once. what is the probability of getting a prime number?

Triangle What is the ratio of the areas of a circle and an equilateral triangle whose diameter and a side are respectively equal ?

If tan A = ¾ and A+B = 90°, then what is the value of cotB?

What is the maximum value of 1/Sec θ

For what value of k , the following pair of linear equations has infinitely many solutions? 10x + 5y - (k-5) = 0 20x + 10y - k = 0

Write 98 as product of its prime factors. Adsense

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