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Find the perimeter of $\Delta ABC$ if AC || RP?

If the lines y = 3x + 7 and 2y + px = 3 are perpendicular to each other, find the value of p.

Assertion: All the points (1, 0), (-1, 0), (2, 0) and (5, 0) lie on the x – axis.

Reason: Equation of the x – axis is y = 0
Now, choose the correct option.

Question 16(c)

The present age of the father is 42 years and that of his son is 14 years. Find the ratio of:

Age of father after 10 years to the age of son after 10 years.

If sin A + 2cos A = 1

Prove That 2sin A - cos A = 2

Please explain with full steps

Sir, I am not able to understand difference between word problems of quadratic equation and linear equation with two varuables. Please let me understand this.

The area of triangle ACD in the given figure is :

Process involving the release of the ovum from the ovary

What is the rationalising factor of the surd $2\sqrt{2}+\sqrt{3}$?

Shriya and Vidya solved a quadratic equation. In solving it, Shriya made a mistake in the constant term and obtained the roots as 5, – 3 while Vidya made a mistake in the coefficient of x and obtained the roots as 1, –3. Which of the following are the correct roots of the equation?

Look at the following table below.
$\begin{array}{cc}\text{Class Interval}& \text{Class mark}\\ 0-6& a\\ 6-12& b\\ 12-18& 15\\ 18-21& 21\end{array}$
The missing class marks $a$ and $b$ are respectively ____.

Find the roots of the equation $5x^2–6x–2=0$ by the method of completing the square.

Question 8
A hollow cube of internal edge 22 cm is filled with spherical marbles of diameter 0.5 cm and it is assumed that $\frac{1}{8}$ space of the cube remains unfilled. Then, the number of marbles that the cube can accommodate is

Thinking process- If we divide the total volume filled by marbles in a cube by volume of a marble, then we get the required number of marbles.

(A) 142296
(B) 142396
(C) 142496
(D) 142596

If $(3,1)$ is a solution of the equation $6x+by=25,$ then what is the value of $b$?

The point satisfies the equation $x+8y=26.$

$\frac{\sin A-2{\sin }^{3}A}{2{\cos }^{3}A-\cos A}=$

Which of the following figures illustrates the angle of elevation and the angle of depression from the same point?

The marks obtained by 10 students in a subject are:

$\begin{array}{ccccccccccc}\text{Students}& A& B& C& D& E& F& G& H& I& J\\ \text{Marks}& 85& 60& 50& 75& 55& 40& 55& 70& 45& 65\end{array}$

Calculate arithmetic mean by direct method.

A fez, the cap used by the Turks, is shaped like the frustum of a cone. If its radius on the open side is 10 cm, radius at the upper base is 4 cm and its slant height is 15 cm, find the area of material used for making it. [2 MARKS]

What will be the reflection of the point (4, 5) about the X-axis, in the fourth quadrant?

If $\Delta ABC$ is similar to $\Delta DEF$ such that BC = 3 cm, EF = 4 cm and area of $\Delta ABC=54{cm}^2$. Determine the area of $\Delta DEF$. [4 MARKS]

Question 29
Factorise the following:

In triangle ABC, right angled at B, if $\angle A$ is made smaller and smaller till it becomes zero, find the value of Sin A and Cos A.

Question 2 (i)
E and F are points on the sides PQ and PR respectively of a $\Delta PQR$. For the following case, state whether EF || QR.
(i) PE = 3.9 cm, EQ = 3 cm, PF = 3.6 cm and FR = 2.4 cm

If a cyclist travels at a speed 2km/hr more than his usual speed, he reaches the destination 2 hours erlier. If the destion is 35km away, what is the usual speed of the cyclist ?

If the probability of happening of an event is $\frac{m}{n}$, then what is the probability of the event not happening.

Write down the equation of the line whose gradient is $-\frac{2}{5}$ and which passes through point P, where P divides the line segment joining A (4, -8) and B (12, 0) in the ratio 3 : 1.

A dice is thrown twice. The probability of getting 4, 5 or 6 in the first and 1, 2, 3 or 4 in the second throw is

$\text{If}17\equiv 4\left(mod13\right)\text{and}42\equiv 3\left(mod13\right),$ then ____.

The triangles formed, after joining the ends of sum of lengths of given line segments to the open end of the mean proportional, are ____________ triangles.

All terms of an ap are natural numbers. The sum of face 9 nine consecutive terms beginning with the largest than 200 and smaller than 220. Is the second term is 12 findfind the common difference.

The angles of elevation and depression of the top and the bottom of a tower from the top Of a building, 60 m high, are ${30}^{\circ }$ and
${60}^{\circ }$ respectively. Find the difference between the heights of the building and the tower and the distance between them.

A conical tent is to accommodate 11 persons. Each person must have 4 square metres of the space on the ground and $20m^3$ of air to breathe. Find the height of the cone.

Find the dividend due at the end of a year on 500 shares of ₹ 75 each, if half-yearly dividend is 4%

Two isosceles triangles have equal vertical angles and their areas are in the ratio 16 : 25. The ratio of their corresponding heights is ___ : ___

The price of a TV set inclusive of sales tax of 9% is Rs 13407/-. Find its marked price. If the sales tax is increased to 13%, how much more does the customer pay for the TV

In applications of trigonometry how do we get to know that in this sum we have to use tan,sin,or cos tita