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Class 10 Maths Notes. Chapter 1 - Quadratic Equation Overview Exercise 1. Chapter 3 - Variations Overview Exercise 3. Chapter 4 - Partial Fractions Overview Exercise 4. Chapter 6 - Basic Statistics Overview Exercise 6. Chapter 7 - Introduction to Trignometry Overview Exercise 7. Chapter 9 - Chords of a Circle Overview Exercise 9. Chapter impirtant - Tangent to a Circle Overview Exercise If you find any mistake or any problem with the notes, please send us an email at [email protected] Advertisement.
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Find the largest number which divides 70 and leaving remainder 5 and 8 respectively. Complete the following factor tree and find the composite number x. Check whether 4n can end with the digit 0 for any natural number n. Therefore, 4 n does not end with the digit zero for any natural number n.
Give reasons. But this contradicts the fact that p and q have no common factor. So, our assumption is wrong, is irrational. Three bells toll at intervals of 9, 12, 15 minutes respectively. If they start tolling together, after what time will they next toll together?
Two tankers contain liters and liters of petrol. Find the maximum capacity of a container which can measure the petrol of each tanker in the exact number of times. The length, breadth, and height of a room are 8 m 50 cm, 6 m 25 cm and 4 m 75 cm respectively. Find the length of the longest rod that can measure the dimensions of the room exactly. Three alarm clocks ring at intervals of 4, 12 and 20 minutes respectively. If they start ringing together, after how much time will they next ring together?
So, the clocks will ring together again after 60 minutes or one hour. Question 5. Question 6. Question 7. Question 8. Question 9. In the given figure, PA and PB are two tangents drawn from an external point P to a circle with centre C and radius 4 cm. Question Calculate the radius of the circle inscribed in the triangle in cm.
Find the perimeter in cm of a square circum scribing a circle of radius a cm. Join OR Proof. Prove that the tangents drawn at the ends of a diameter of a circle are parallel.
A chord of the larger circle, of length 48 cm, touches the smaller circle. Find the value of r. In the figure, the chord AB of the larger of the two concentric circles, with centre O, touches the smaller circle at C.
Find the length of side AD. Prove that the parallelogram Ch 4 Maths Class 10 Important Questions Number circumscribing a circle is a rhombus. Square root of all negative numbers is imaginary. A real number can be represented as an infinite decimal expansion.
A real number can be rational or irrational. All rational numbers and all irrational numbers together make a group of real numbers. A rational number an be written in the form p q , both p and q being integers q 0 while an irrational number can not be impressed in such a way.
The decimal expansion of a rational number say x can terminate after a finite number of digits. On the other hand in case of an irrational number, the decimal expansion continues without repeating. Ex: 1. First, let us understand the meaning of Lemma and Algorithms. A Lemma is a minor proven statement which is used to prove other statements. An algorithm means a series of well defined steps, which provides a procedure of calculations repeatedly successfully on the results of earlier steps.
With the help of defined procedure the desired result can be obtained. F Highest Common Factor of the given positive integers. Ordinarily, if we want to find the HCF of two positive integers, we first find the factors of the two integers.
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