Archives

Find the square roots of 5929 by the Prime Factorisation Method.

Solution We have to find the square root of 5929 by the prime factorisation method 5929 = 7 × 7 × 11 × 11 5929 = (7... View Article

Find the square roots of 9604 by the Prime Factorisation Method.

Solution We have to find the square root of 9604 by the prime factorisation method 9604 = 2 × 2 × 7 × 7 × 7... View Article

Find the square roots of 7744 by the Prime Factorisation Method.

Solution We have to find the square root of 7744 by the prime factorisation method 7744 = 2 × 2 × 2 × 2 × 2... View Article

Find the square roots of 4096 by the Prime Factorisation Method.

Solution We have to find the square root of 4096 by the prime factorisation method 4096 = 2 × 2 × 2 × 2 × 2... View Article

Find the square roots of 1764 by the Prime Factorisation Method.

Solution We have to find the square root of 1764 by prime factorisation method 1764 = 2 × 2 × 3 × 3 × 7 × 7 × 1 1764 = (2 × 2) × (3 × 3) ×... View Article

Construct the following quadrilateral: Parallelogram MORE. OR = 6 cm

Solution RE = 4.5 cm EO = 7.5 We know that opposite sides of a parallelogram are equal in length and also these are parallel to each other.... View Article

Solve the following equation and check your results: 8x + 4 = 3 (x – 1) + 7

Solution 8x + 4 = 3x – 3 + 7 Rearranging and combining the like terms 8x – 3x = – 3 + 7– 4 5x = 0 x = 0... View Article

What is the maximum exterior angle possible for a regular polygon?

Solution Each exterior angle of an equilateral triangle is 120°. This the maximum possible value of exterior angle of a regular polygon. We... View Article

Prove that the parallelogram circumscribing a circle is a rhombus.

Consider a parallelogram ABCD which is circumscribing a circle with a center O. Since ABCD is a parallelogram, AB = CD and BC = AD. AP = AS-----... View Article

Visualise 3.765 on the number line, using successive magnification.

We have to represent 3.765 on the number line using the successive magnification method. 1: We will check the range of the number and... View Article

Solve the following equation and check your results: 2y + 5/3 = 26/3 – y

Solution (6y + 5) / 3 = (26 – 3y) / 3 6y + 5 = 26 – 3y Rearranging and combining the like terms 6y + 5 + 3y = 26 ... View Article

In Figure, PS is the bisector of ∠ QPR of ∆ PQR. Prove that QS/PQ = SR/PR

Given PS is the angle bisector of ∠QPR. To Prove QS/PQ = SR/PR Construction Draw a line segment RT parallel to SP which intersects... View Article

Find two consecutive positive integers, sum of whose squares is 365.

Let us assume, the two consecutive positive integers be x and x + 1. Hence, as per the given questions, x2 + (x +... View Article

ABC is an isosceles triangle right angled at C. Prove that AB2 = 2AC2 .

ΔABC is an isosceles triangle right angled at C. From ΔACB, ∠C = 90° AC = BC (By isosceles triangle property)... View Article

Solve the following equation and check your results: 2x/3 + 1 = 7x/15 + 3

Solution (2x + 3) / 3 = (7x + 45) / 15 15 (2x + 3) = 3 (7x + 45) 30x + 45 = 21x + 135 30x + 45 – 21x = 135 Rearranging... View Article

In Fig. E is any point on median AD of a ΔABC. Show that ar (ABE) = ar(ACE) .

Solution AD is median of ΔABC (Given) It divides ΔABC into two triangles of equal area. Hence, ar(ABD) = ar(ACD) ----(1)... View Article

Find the point on the x-axis which is equidistant from (2, – 5) and (- 2, 9) .

Given Two points (2, – 5) and (- 2, 9) Find out We have to determine the point on the x-axis which is equidistant from (2, - 5) and (- 2,... View Article

In Fig. lines XY and MN intersect at O. If POY = 90° and a : b = 2 : 3, find c.

Given XY and MN are straight lines. ∠POY = 90° ----(i) a : b = 2 : 3 ------(ii) ∠POM = a ∠XOM = b ∠XON = c Considering XY as a straight... View Article

Find the centre of a circle passing through points (6, -6) , (3, -7) and (3, 3) .

Let us assume A = (6, -6), B = (3, -7), C = (3, 3) are the points on a circle. If O is the centre, then OA = OB = OC (radii are equal) If O = (x,... View Article

Segment of a circle is the region between an arc and _____________ of the circle.

Segment of a circle is the region between an arc and chord of the circle. A circle is a closed two-dimensional figure in which the set... View Article

M	T	W	T	F	S	S
			1	2	3	4
5	6	7	8	9	10	11
12	13	14	15	16	17	18
19	20	21	22	23	24	25
26	27	28	29	30	31