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Question

If ∣ ∣x15x7x21x182x3x0∣ ∣ =ax3+bx2+cx+d, then the value of c is given by

A
-1
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B
12
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C
15
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D
17
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Solution

The correct option is D 17
Differentiate w.r.t. x of given equation, we get
∣ ∣150x21x182x3x0∣ ∣+∣ ∣x15x72x102x3x0∣ ∣+∣ ∣x15x7x21x18230∣ ∣=3ax2+2bx+cPut x=0,we get c=∣ ∣150118000∣ ∣+∣ ∣107010000∣ ∣+∣ ∣107118230∣ ∣=17

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