CBSE ADDA

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CBSE ADDA Q . 1. Find a point on the x-axis which is equidistance from the points (7, 6) and (-3, 4). Q . 2. Show that the points A (1,2),B (5,4),C (3,8) and D (-1,6) are the vertices of a square. Q . 3. If A(6,-1), B(1,3) and C(k,8) are three points such that AB = BC, find the value of k. Q . 4. By distance formula, shoe that the points (1,-1), (5,2), (9,5), are collinear. Q . 5. Find the ratio in which the point P (m,6) divides the join of A(-4,3) and B(2,8). Also find the value of m. Q . 6. In what ratio is the line segment joining the points (-2,-3) and (3,7) divided by the y-axis . Also. find the coordinates of the points of division. Q . 7. Two vertices of a ABC are given by A(6,4) and (-2,2), and its centroid is G(3,4).Find the coordinates of the third vertex C of  triangle ABC. Q . 8. Show that the points (a, b + c), (b, c + a), (c, a + b), are collinear . . Q . 9. Find the area of quadrilateral ABCD whose vertices are A (-5,7),B (-4,-5),C (-1,-6) and D(4,5) For more prac

CBSE ADDA Q. 1. Determine k so that k + 2, 4k - 6 and 3k - 2 are three consecutive terms of an AP. Q. 2. If mth term of A.P. is , and nth term is , show that the mnth terms is 1. Q. 3. A circle is completely divided into n sectors in such a way that the angles of the sectors are in arithmetic progression. If the smallest-of these angles is 8° and the largest 72°, calculate n and the angle in the fourth sector. Q. 4. Which term of AP: 3, 10, 17 ... will be 84 more than its 13th term? Q. 5. If 9th term of an AP is zero, prove that 29th term is double the 19th term. Q. 6. Find a, b such that 27, a, b - 6 are in A.P. Q. 7. For what value of n, the nth terms of the sequences 3, 10, 17,... and 63, 65, 67,... are equal. Q. 8. If m times the mth term of an AP is equal to n times its nth term show that the (m + n)th term of the AP is zero. Q. 9. A person buys National Savings Certificates of value exceeding the last year's purchase by Rs.500. After 10 years he finds the t

CBSE ADDA Q. 1. Which term of the AP 21, 18, 15, ………… is – 81 ? Also any term 0? Q. 2. Is 68 a term of the AP 7, 10, 13, ………? Q. 3. The 10th term of an AP is 52 and 16th term is 82. Find the 32nd term. Q. 4. Find the sum of a + b, a – b, a – 3b,…….. to 22 terms. Q. 5. Find the sum of first 15 terms of an AP, whose nth term is 9 – 5n. Q. 6. If 6 times the 6th term is equal to 9 times the 9th term of an AP find its 15th term. Q. 7. Which term of AP 5, 13, 21, ………. Will be 72 less than its 17th term? Q. 8. If 1/x + 2 , 1/ x +3 , 1/ x + 5 are in AP then find x. Q. 9. Which term of the AP 32, 29, 26, ………. Is its first negative term? Q. 10. If the sum of first 20 terms of an AP is one third of the sum of next 20 terms. If first term is 1 , then find the sum of first 30 terms. Q. 11. Find the sum of all the three digits numbers each of which leaves the remainder 3 when divided by 5. Q. 12. If mth and nth terms of an AP are 1/n and 1/m respectively, t