If y-ax2-7x-15 makes an intercept of 112 units on X-axis- then the value of -a- is

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General Equation of Parabola

If y=ax2+7x...

Question

If $y = a x^{2} + 7 x - 15$ makes an intercept of $1 \frac{1}{2}$ units on X-axis, then the value of 'a' is

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Solution

The correct option is C $2$
Since $1 \frac{1}{2}$ units are on X-axis.
we substitute intercepts on x and y-axis as $\frac{3}{2}$ and 0 respectively in the given equation: $y = a x^{2} + 7 x - 15$
$0 = a \times \frac{9}{4} + 7 \times \frac{3}{2} - 15$
Simplifying further we have $a = 2$

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If y=ax2+7x−15 makes an intercept of 112 units on X-axis, then the value of 'a' is

The correct option is C 2Since 112 units are on X-axis.we substitute intercepts on x and y-axis as 32 and 0 respectively in the given equation: y=ax2+7x−15 0=a×94+7×32−15Simplifying further we have a=2

If $y = a x^{2} + 7 x - 15$ makes an intercept of $1 \frac{1}{2}$ units on X-axis, then the value of 'a' is

The correct option is C $2$
Since $1 \frac{1}{2}$ units are on X-axis.
we substitute intercepts on x and y-axis as $\frac{3}{2}$ and 0 respectively in the given equation: $y = a x^{2} + 7 x - 15$
$0 = a \times \frac{9}{4} + 7 \times \frac{3}{2} - 15$
Simplifying further we have $a = 2$