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The point of intersection of all the medians of a triangle is called the

If the odds in favour of an event be $\frac{3}{5}$, then the probability of the occurrence of the event is

Using quadratic formula, factorize the equation : [3 MARK]
$5x^2–10x+3=0$

A conical tomb is made up of bricks of a front surface area of $5m^2$. The slant height and radius of the tomb are measured to be $25m$ and $7m$ respectively. The approximate number of bricks made used to construct the tomb are

[Take $\pi =\frac{22}{7}$]

Metallic spheres of radii 6cm, 8cm and 10cm, respectively are melted to form a single solid sphere. The radius of the resulting sphere(in cm) is

Find graphically the coordinates of the vertices of triangle, whose sides have the equations $y=x-3,2y=x-4andx-4=0.$

Given the area of rectangle is A $=25a^2-35a+12$. The length is given as ($5a-3$). Therefore, the width is?

A point is chosen in the diagram. Given that the radius of the circle is equal to the half the measure of the side of the square, what is the probability that the chosen point is in the shaded area of the part of the circle?

What is the value of sec $\theta$ in the given triangle?

ABC is a triangle in. which $\angle A={90}^{\circ },AN\perp BC,BC=12cm$ and AC = 5 cm. Find the ratio of the areas of $\Delta ANC$ and $\Delta ABC$

Find the total surface area of a cube whose volume is $64m^3.$

A line segment AB intersects a circle at two distinct points C and D as it passes through its centre, as shown in the figure. The line, whose segment is AB, is a:

The point of intersection of ___ bisectors of all the sides of a triangle is called circumcentre.

Find the length of the tangent drawn from a point whose distance from the centre of circle is 25 cm. Given that the radius of the circle is 7 cm.

In the given figure, the central angle of arc AXB is 40 and the central angle of arc CYD is ${70}^{\circ }$.

Find the angles $\angle CAD$ and $\angle PDA$.

Find the value of (i) sin ${75}^0$ (ii) tan ${15}^0$.

In the given figure, D is the midpoint of side BC and AE $\perp$ BC. If BC = a, AC = b, AB = c, ED = x, AD = p and AE = h, prove that

(i) $b^2=p^2+ax+\frac{a^2}{4}$

(ii) $c^2=p^2-ax+\frac{a^2}{4}$

(iii) $(b^2+c^2)=2p^2+\frac{1}{2}{a}^2$

(iv) $(b^2-c^2)=2ax$

In the given figure, if $\angle ADE=\angle B$, show that $\Delta ADE\sim \Delta ABC$. If AD = 3.8 cm, AE = 3.6 cm, BE = 2.1 cm and BC = 4.2 cm, find DE.

Triangle ABC has side of length 5, 6 and 7 units, while triangle PQR has a perimeter of 360 units when will ΔABC similar to ΔPQR? And hence find the sides of the triangle PQR.

2361 = ( 784 $\times$ Q ) + R

Find the value of Q and R.

King, queen, ace, and jack of diamonds are removed from a pack of 52 cards. The remaining cards in the pack are well shuffled. A card is drawn randomly from the remaining cards. Find the probability of getting a card of a jack.

∆ABC,AD perpendicular to BC and AD square=BD×DC prove angle BAC=90

Question 3 (ii)
Prove that $7\sqrt{5}$ is irrational.

The sum of the squares two consecutive positive integers is 365.Find the integers.

$\text{In the given figure,O is the centre of the circle. If}\angle \text{ACB}={60}^{\circ }\text{then find}\angle OAB.$

The ogive curve for less than type is a plot of