Question
Factorise : $x^2+7 x-18$
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Answer
$(x+9)(x-2)$
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In the adjoining figure, ABCD is a parallelogram, E is the mid-point of CD and through D, a line is drawn parallel to EB to meet CB produced at G and intersecting AB at F .
Prove that:
(i) $AD =\frac{1}{2} GC$
(ii) $DG =2 EB$.
→Prove that:
(i) $AD =\frac{1}{2} GC$
(ii) $DG =2 EB$.
Check whether the following statement is true or false. Justify your answer. If the length of an are of a circle of radius is equal to that of an arc of a circle of radius 2r, then the angle of the corresponding sector of the first circle is double the angle of the corresponding sector of the other circle.
Find the perimeter and area of quadrilateral ABCD in which
$\begin{array}{l}AB=9 cm, AD=12 cm, BD=15 cm \\
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→$\begin{array}{l}AB=9 cm, AD=12 cm, BD=15 cm \\
CD=17 cm \text { and } \angle CBD=90\end{array}$.
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In the given figure, $\triangle A B C$ is right angled at $B$.
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State, giving reason, whether the given number is rational or irrational:
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Factorise : $4x^4- x^2- 12x - 36$
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