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Hence find the roots of the equation. Three consecutive natural numbers are such that the square of the middle number exceeds the difference of the squares of the other two by Find the numbers. If the sum of two natural numbers is 8 and their product is 15, find the numbers.
Also find the roots. Also find these roots. A shopkeeper buys some books for Find the number of books he bought. Sum of the areas of two squares is cm 2. If the difference of their perimeters is 16 cm, find the sides of the two squares. The diagonal of a rectangular field is 16 metres more than the shorter side. If the longer side is 14 metres more than the shorter side, then find the lengths of the sides of the field.
The sum of three numbers in A. The perimeter of a right triangle is 60 cm. Its hypotenuse is 25 cm. Find the area of the triangle. The numerator of a fraction is 3 less than its denominator. Find the fraction. According to the Question,. Find the original fraction.
Let the denominator and numerator of the fraction be x and x � 3 respectively. A rectangular park is to be designed whose breadth is 3 m less than its length. Its area is to be 4 square metres more than the area of a park that has already been made in the shape of an isosceles triangle with its base as the breadth of the rectangular park and of Ch 1 Class 10 Maths Important Questions National altitude 12 m. Find the length and breadth of the rectangular park.
A train travels km at a uniform speed. Find the speed of the train. In a flight of km, an aircraft was slowed down due to bad weather. Find the sum of the first 25 terms of an A. The first and the last terms of an AP are 5 and 45 respectively. If the sum of all its terms is , find its common difference. The first and the last terms of an AP are 8 and 65 respectively. Find the sum of all three digit natural numbers, which are multiples of Which term of the A.
Determine the A. The 19th term of an AP is equal to three times its 6 th term. If its 9 th term is 19, find the A. The 9th term of an A. If its 5 th term is 22, find the A. The sum of the 5th and the 9th terms of an AP is If Class 10 Maths Ch 5 Important Questions Above its 25 th term is three times its 8 th term, find the AP. Find the value of the middle term of the following A.
The 14 th term of an AP is twice its g th term. If its 6 th term is -8, then find the sum of its first 20 terms. The 13th term of an AP is four times its 3rd term. If its fifth term is 16, then find the sum of its first ten terms. If the sum of first 7 terms of an A. P is 49 and that of its first 17 terms is , find the sum of first n terms of the A.
The first term of an A. Find the number of terms and the common difference of the A. The n th term of an A. Find the sum of first 20 terms of this A. Find the 25 th term of this AP.
The sum of the first seven terms of an AP is If its 4 th and the 17 th terms are in the ratio 1 : 5, find the AP. If S n , denotes the sum of first n terms of an A. If the sum of the first n terms of an A. If S n denotes the sum of first n terms of an A. If the ratio of the sum of first n terms of two A. Let a be the first term and d be the common difference of 2 nd A. The digits of a positive number of three digits are in A. The number obtained by reversing the digits is less than the original number.
Find the number. The sums of first n terms of three arithmetic progressions are S 1 S 2 and S 3 respectively. The first term of each A. Find the sum of all three digit natural numbers, which are multiples of 9. Find the sum of all multiples of 7 lying between and The 17 th term of an AP is 5 more than twice its 8 th term. If the 11 th term of the AP is 43, then find its n th term. The 15 th term of an AP is 3 more than twice its 7 th term. If the 10 th term of the AP is 41, then find its n th term.
The 16 th term of an AP is 1 more than twice its 8 th term. If the 12 th term of the AP is 47, then find its n th term. Find the 60th term of the AP 8, 10, 12, �, if it has a total of 60 terms and hence find the sum of its last 10 terms. An Arithmetic Progression 5, 12, 19, � has 50 terms. Find its Ch 10 Maths Class 10 Important Questions Completion last term. Hence find the sum of its last 15 terms. If the sum of first 4 terms of an A. The first and the last terms of an A. If its common difference is 9, how many terms are there and what is their sum?
Sum of the first 20 terms of an AP is , and its first term is 7. Find its 24 th term. Find the common difference of an A. If the sum of the first 7 terms of an A. The 24 th term of an AP is twice its 10th term. Show that its 72 nd term is 4 times its 15th term. S �Hence Proved. Find the number of terms of the A. If 1 is added to each term of this A. In an Byjus Class 12 Maths Important Questions Pdf AP of 50 terms, the sum of first 10 terms is and the sum of its last 15 terms is
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