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CBSE Class 10 Answered

1.The value of m if 2x^m + x^3 – 3x^2 – 26 leaves a remainder of 226 when it is divided by x – 2. 2. If A + B = 225°, then the value of (1 + tan A)(1 + tan B) is.
Asked by Sahil Kumar | 21 Mar, 2017, 05:53: PM
answered-by-expert Expert Answer

Hi Sahil,

Please post 1 query per question since we have many queries lined up. However, I will still be helping you with both the queries since you may not have been aware.

First query:

begin mathsize 16px style straight x minus 2 space is space straight a space factor comma space so space straight x equals 2 space has space to space satisfy space the space given space expression. space Substitute space straight x equals 2 space in space the space given space equation. 2 times 2 to the power of straight m plus 2 cubed minus 3 times 2 squared minus 26 equals 226 rightwards double arrow 2 to the power of straight m plus 1 end exponent plus 2 cubed minus 3 times 2 squared minus 26 equals 226 rightwards double arrow 2 to the power of straight m plus 1 end exponent plus 8 minus 12 minus 26 equals 226 rightwards double arrow 2 to the power of straight m plus 1 end exponent equals 256 rightwards double arrow 2 to the power of straight m times 2 equals 256 rightwards double arrow 2 to the power of straight m equals 128 rightwards double arrow 2 to the power of straight m equals 2 to the power of 7 So comma space straight m equals 7 end style

Second query:

begin mathsize 16px style Given space straight A plus straight B equals 225 rightwards double arrow tan left parenthesis straight A plus straight B right parenthesis equals tan 225 rightwards double arrow fraction numerator tanA plus tanB over denominator 1 minus tanAtanB end fraction equals tan left parenthesis 180 plus 45 right parenthesis rightwards double arrow fraction numerator tanA plus tanB over denominator 1 minus tanAtanB end fraction equals tan 45 equals 1 rightwards double arrow tanA plus tanB equals 1 minus tanAtanB rightwards double arrow tanA plus tanB plus tanAtanB equals 1 space... left parenthesis asterisk times right parenthesis Consider comma space left parenthesis 1 plus tanA left parenthesis 1 plus tanB right parenthesis equals 1 plus tanB plus tanA plus tanAtanB equals 1 plus 1... left parenthesis from space asterisk times right parenthesis equals 2 end style

Answered by | 21 Mar, 2017, 06:37: PM

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