NCERT Exemplar Solutions for CBSE class 10 Maths Jun 28, �� NCERT Exemplar Class 10 Maths Chapter 5 Arithmetic Progressions NCERT Exemplar Class 10 Maths Chapter 5 Exercise Choose the correct answers from the given four options: Question 1. In an AP, if d = -4, n = 7, an = 4, then a is equal to (A) 6 (B) 7 (C) 20 (D) 28 [ ]. myboat284 boatplans@myboat284 boatplans NCERT, Sri Aurobindo Marg, New Delhi NCERT, Sri Aurobindo Marg, New Delhi According to new CBSE Exam Pattern, MCQ Questions for Class 10 Maths Carries 20 Marks. You can also Download NCERT Solutions for class 10 Maths in Hindi to help you to revise complete Syllabus and score more marks in your examinations. NCERT Exemplar Problems Class 10 Maths Solutions Chapter 5 Arithmetic Progressions.
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Hence, the total fare after each km form an AP. In which of the following situations, do the lists of numbers involved form an AP? Give reasons for your answers. Solution: i The fee charged from a student every month by a school for the whole session is , , , ,�.

So, the list does form an AP. Justify whether it is true to say that the following are the n th terms of an AP.

So, it does not form an AP. So it does not form an AP. Verify that each of the following is an AP, and then write its next three terms.

Solution: Therefore, the each successive term of the given list has the same difference, So, it forms an AP. The next three terms are, Therefore, the each successive term of the given list has same difference.

It forms an AP. The next three terms are,. So, it forms an AP. Write the first three terms of the APs when a and d are as given below: Solution:. Find a, b and c such that the following numbers are in AP: a, 7, b, 23, c. Solution: Since a, 7, b, 23, c are in AP. Determine the AP whose fifth term is 19 and the difference of the eighth term from the thirteenth term is Solution: Let the first term of an AP be a and common difference d. Find the common difference and the number of terms.

Solution: Let the first term, common difference and number of terms of an AP are a, d and n, respectively. The sum of the 5 th and the 7 th terms of an AP is 52 and the 10th term is Find the AP. Solution: Let the first term and common difference of AP are a and d, respectively. Find the 20 th term of the AP whose 7 th term is 24 less than the 11th term, first term being If the 9 th term of an AP is zero, prove that its 29 th term is twice its 19 th term.

Solution: Let the first term, common difference and number of terms of an AP are a, d and n respectively. Given that, 9 th term of an AP, i. Find whether 55 is a term of the AP: 7, 10, 13,� or not. If yes, find which term it is. Solution: Yes.

Let the first term, common difference and the number of terms of an AP are a, d and n respectively. Let the n th term of an AP be So 55 is a term of the AP. Split into three parts such that these are in AP and the product of the two smaller parts is The angles of a triangle are in AP.

The greatest angle is twice the least. Find all the angles of the triangle. Solution: Given that, the angles of a triangle are in AP. If the n th terms of the two APs: 9, 7, 5,� and 24, 21, 18,. Also find that term.

Solution: Let the first term, common difference and number of terms of the AP: 9, 7, 5,�. If sum of the 3 rd and the 8 th terms of an AP is 7 and the sum of the 7 th and the 14 th terms is -3, find the 10 th term.

Solution: Let the first term and common difference of an AP are a and d, respectively. Find the 12 th term from the end of the AP: -2, -4,-6, �, Solution: Given AP : -2, -4, -6,�. Which term of the AP: 53, 48, 43,� is the first negative term?

How many numbers lie between 10 and , which when divided by 4 leave a remainder 31 Solution: Here, the first number is 11, which divided by 4 leave a remainder 3 between 10 and Last term before is , which divided by 4 leave remainder 3. The first term of an AP is -5 and the last term is If the sum of the terms of the AP is , then find the number of terms and the common difference. Solution: Let the first term, common difference and the number of terms of an AP are a, d and n respectively.

Hence, number of terms and the common difference of an AP are 6 and 10 respectively. Which term of the AP: -2, -7, ,� will be ? Find the sum of this AP upto the term Solution: Given, AP : -2, -7, , �. Solution: Sum of n terms of an AP,. Find the sum of first 17 terms of an AP whose 4 th and 9 th terms are and respectively. Solution: Let the first term, common difference and the number of terms in an AP are a, d and n, respectively.

If sum of first 6 terms of an AP is 36 and that of the first 16 terms is , find the sum of first 10 terms. Solution: Let a and d be the first term and common difference, respectively of an AP.

Find the sum of all the 11 terms of an AP whose middle most term is Find the sum of last ten terms of the AP: 8,10, 12,��. Solution: For finding the sum of last ten terms, we write the given AP in reverse order.

Find the sum of first seven numbers which are multiples of 2 as well as of 9. Solution: For finding the sum of first seven numbers which are multiples of 2 as well as of 9. Take LCM of 2 and 9 which is Is the triangle with sides 25 cm, 5 cm and 24 cm a right triangle?

Give reasons for your answer. Solution: False We know that, if two triangles are similar, then their corresponding angles are equal. Is the following statement true? Solution: False Two quadrilaterals are similar if their corresponding angles are equal and corresponding sides must also Ncert Exemplar Class 10 Maths Solutions Ch 8 Que be proportional. Two sides and the perimeter of one triangle are respectively three times the corresponding sides and the perimeter of the other triangle.

Are the two triangles similar? Solution: True Here, the corresponding two sides and the perimeters of two triangles are proportional, then the third side of both triangles will also in proportion. If in two right triangles, one of the acute angles of one triangle is equal to an acute angle of the other triangle, can you say that the two triangles will be similar? Is it true to say that if in two triangles, an angle of one triangle is equal to an angle of another triangle and two sides of one triangle are proportional to the two sides of the other triangle, then the triangles are similar?

Solution: False Because, according to SAS similarity criterion, if one angle of a triangle is equal to an angle of the other triangle and the sides including these angles are proportional, then the two triangles are similar. Here, one angle and two sides of two triangles are equal but these sides not including equal angle, so given statement is not correct.

AP Hence proved. Find the altitude of an equilateral triangle of side 8 cm. Solution: Let ABC be an equilateral triangle of side 8 cm i. Then, D is the mid-point of BC. Corresponding sides of two similar triangles are in the ratio of 2 : 3. If the area of the smaller triangle is 48 cm 2 , find the area of the larger triangle.

If PN. Areas of two similar triangles are 36 cm 2 and cm 2. If the length of a side of the larger triangle is 20 cm, find the length of the corresponding side of the smaller triangle. A 15 metres high tower casts a shadow 24 metres long at a certain time and at the same time, a telephone pole casts a shadow 16 metres long.

Find the height of the telephone pole. Hence, the height of the point on the wall where the top of the ladder reaches is 8 m. Foot of a 10 m long ladder leaning against a vertical wall is 6 m away from the base of the wall. Find the height of the point on the wall where the top of the ladder reaches. The top of the ladder reached to A and distance of ladder from the base of the wall BC is 6 m. Find the lengths of the remaining sides of the triangles. Prove that if a line is drawn parallel to one side of a triangle to intersect the other two sides, then the two sides are divided in the same ratio.

To prove : DE divides the two sides in the same ratio. Also AB PS.




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