Question 11
If x = a and y = b is the solution of the equations x – y = 2 and x + y = 4, then the values of a and b are respectively:
(A) 3 and 5
(B) 5 and 3
(C) 3 and 1
(D) –1 and –3

x + y + z = 15

when

a, x, y, z, b

are in AP and

\frac{1}{x} + \frac{1}{y} + \frac{1}{z} = \frac{5}{3}

when a, x, y, z, b are in HP then the quadratic equation whose roots are

\frac{1}{a} a n d \frac{1}{b}

Q. The value of

x + y + z i s 15 i f a, x, y, z, b

are in A.P. while the value of

\frac{1}{x} + \frac{1}{y} + \frac{1}{z} i s \frac{5}{3} i f a, x, y, z, b

are in H. P. Then the value of and b are

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If y=a+bx, where a and b are constants and if y=1 when x=−1, and y=5 when x=−5, what is the value of a+b?

The correct option is D 11Given: y=a+bx a,b are constants at x=−1,y=1a+b−1=1⇒a−b=1→(1)at x=−5,y=5a+b−5=5⇒a−b5=5→(2)(2)−(1)⇒4b5=4⇒b=5,a=6∴a+b=11

If $y = a + \frac{b}{x}$ , where $a$ and $b$ are constants and if $y = 1$ when $x = - 1$ , and $y = 5$ when $x = - 5$ , what is the value of $a + b$ ?