Questions
The coordinates of the point P on the curve , the tangent at which is perpendicular to the line 4x – 3y+2 = 0, are given by
detailed solution
Correct option is D
Differentiating y2=2x3, we get 2ydydx=6x2⇒dydx=3x2yThe slope of the line 4x – 3 y+2 =0 is 4/3. Therefore , the coordinates of P (x, y) must satisfy. 3x2y⋅43=−1⇒4x2=−y Also, y2=2x3. Solving these, we get x=1/8 and y=−1/16( clearly x≠0)Talk to our academic expert!
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The curve y= ax3+ bx2+cx + 5 touches the x-axis at P(-2, 0) and cuts the y-axis at a point Q where its gradient is 3, then the value of -10 a- 100b+ 1000 c must be
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