Question
Solve the following examples.
Find the length a diagonal of a rectangle having sides 11 cm and 60cm.
Find the length a diagonal of a rectangle having sides 11 cm and 60cm.
✓
Answer
Get the step-by-step solution for this question inside the Vidyadip app.
Get the answer in the appNeed a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The sum of the radius of base and height of a solid right circular cylinder is $37\ cm$. If the total surface area of the solid cylinder is $1628\ cm^2$, find the volume of cylinder.$\Big(\text{use}\ \pi=\frac{22}{7}\Big)$
→In the given figure, O is the centre of the circle and TP is the tangent to the circle from an external point T. If $\angle\text{PBT} = 30^\circ,$prove that
BA : AT = 2 : 1.
→BA : AT = 2 : 1.
Find the values of k for which the given quadratic equation has real and distinct root:
$kx^2 + 6x + 1 = 0$
→$kx^2 + 6x + 1 = 0$
Solve the following simultaneous equation.
$\begin{aligned} & \frac{1}{3 x+y}+\frac{1}{3 x-y}=\frac{3}{4} \\ & \frac{1}{2(3 x+y)}-\frac{1}{2(3 x-y)}=\frac{1}{8}\end{aligned}$
→$\begin{aligned} & \frac{1}{3 x+y}+\frac{1}{3 x-y}=\frac{3}{4} \\ & \frac{1}{2(3 x+y)}-\frac{1}{2(3 x-y)}=\frac{1}{8}\end{aligned}$
The following are quadratic equations in x?
$\Big(\text{x}+\frac{1}{\text{x}}\Big)^2=2\Big(\text{x}+\frac{1}{\text{x}}\Big)+3$
→$\Big(\text{x}+\frac{1}{\text{x}}\Big)^2=2\Big(\text{x}+\frac{1}{\text{x}}\Big)+3$
In the following, one of the six trigonometric ratios is given. Find the values of the other trigonometric ratios.
$\tan \alpha=\frac{5}{12}$
→$\tan \alpha=\frac{5}{12}$
Prove the following trigonometric identities.
$\frac{1+\sin\theta}{\cos\theta}+\frac{\cos\theta}{1+\sin\theta}=2\sec\theta$
→$\frac{1+\sin\theta}{\cos\theta}+\frac{\cos\theta}{1+\sin\theta}=2\sec\theta$
Prove the following identities:
Prove that:
$\big(\sin\theta-2\sin^3\theta\big)=\big(2\cos^3\theta-\cos\theta\big)\tan\theta.$
→Prove that:
$\big(\sin\theta-2\sin^3\theta\big)=\big(2\cos^3\theta-\cos\theta\big)\tan\theta.$
Solve the following simultaneous equations using Cramer’s rule.
4m + 6n = 54; 3m + 2n = 28
4m + 6n = 54; 3m + 2n = 28
Prove that $\frac{\sec A }{\tan A +\cot A }=\sin A$
→