Find the equation of the straight line through (4,-1) that is parallel to the line with equation 2x + y = 5 (D2D)

A shopkeeper buys an article for ₹800 and sells it for ₹960. What is the profit percentage?

A and B can complete a work in 12 days and 18 days, respectively. How many days will they take together to complete the work?

A car travels at a speed of 60 km/h. How much time will it take to cover 240 km?

A pipe can fill a tank in 6 hours, while another pipe can empty it in 8 hours. If both pipes are opened together, in how much time will the tank be filled?

Find the equation of the tangent to the circle x²+y²=25 at the point (3, 4).

How many different ways can the letters of the word "APPLE" be arranged?

How many 4-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7 if no digit is repeated?

Find the equation of the parabola with focus at (3,0) and directrix x= -3

The values of x ,y and z in order, if the system of equations 3x+y+2z= 3, 2x-3y-z= -3 , x+2y+z= 4, are

d/dx of integral (f(x))dx is

If 7 times the 7th term of an AP is equal to 11 times its 11th term, find18th term of the AP is

Identify the type of x-intercepts of the quadratic equation f(x) = (x + 6)² + 2

If α and β are the roots of the quadratic equation ax² + bx +c = 0, then αβ²+α² β+αβ equals:-

Find the total no. of possible orders from the 72 elements.