If (ax3+bx2+x-6) has (x+2) as a factor and leaves remainder 4, when divided by (x-2), find the values of a and b.
State true or false.A circle has radius 2 cm. It is divided into two segments by a chord of length 2 cm. Then angle subtended by the chord at a point in the major segment is 55º.
A 115 -m-long and 64 -m-broad lawn has two roads at right angles, one 2m wide, running parallel to its length, and the other 2.5m wide, running parallel to its breadth. What is the cost of gravelling the roads at ₹60 per m 2 ?
A well of diameter 140 cm has a stone parapet around it. If the length of the outer edge of the parapet is 616 cm, what is the width of the parapet?
A rectangular field is 50 m by 40 m. It has two roads through its center, running parallel to its sides. The width of the longer and the shorter roads are 2 m and 2.5-m-respectively. What is the area of the roads and the area of the remaining portion of the field?
A circular track around a sports ground has circumference of 1080 m . Two cyclists Paurush and Shreyan start together and cycled at constant speeds of 6 m/s and 9 m/s respectively around the circular track. After how many minutes will they meet again at the starting point?
The value of k for which the equations 2x + 3y = 7 and (k – 1) x + (k + 2) y = 3k has an infinite number of solutions is ____.
Why is it that while there has been a change in the share of three sectors in GDP, a similar shift has not taken place in employment?
Megha has taken a loan of Rs 5 lakhs from the bank to purchase a house. The annual interest rate on a loan is 12 percent, which is to be repaid in 10 years in monthly instalments. Megha had to submit to the bank documents showing her employment records and salary before the bank agreed to give her the loan. The bank retained as collateral the papers of the new house, which will be returned to Megha only when she repays the entire loan with interest.Match the columns Matrix: Column I Column II(a)Loan amount (in Rupees)(i)EMIS or instalments(b)Duration of loan(ii)12% per annum.(c)Documents required (iii)5 lakhs(d)Interest rate (iv)10 years(e)Mode of repayment(v)Papers of the concerned house(f)Collateral(vi)Proof of sal. The reforestation
Choose the statement that is true/false:Suppose records show that the average income in a country has been increasing over a period of time. From this, can we conclude that all sections of the economy have become better?
