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Recent questions tagged exercise10-3

If $p$ is the length of perpendicular from the origin to the line whose intercepts on the axes are $a$ and $b$, then show that $ \large\frac{1}{p^2}$$= \large\frac{1}{a^2}$$ +\large\frac{1}{b^2}$

asked May 18, 2014 by thanvigandhi_1

1 answer

In the triangle ABC with vertices A(2,3), B(4,-1) and C(1,2), find the equation and length of altitude from the vertex A.

asked May 14, 2014 by thanvigandhi_1

1 answer

If $p$ and $q$ are the lengths of perpendiculars from the origin to the lines $ x \cos \theta - y \sin \theta = k \cos 2\theta$ and $ x \sec \theta + y \: cosec \theta -k$, respectively, prove that $ p^2+4q^2=k^2$

asked May 13, 2014 by thanvigandhi_1

1 answer

The perpendicular from the origin to the line $y=mx+c$ meets it at the point (-1,2). Find the values of $m$ and $c$.

asked May 13, 2014 by thanvigandhi_1

1 answer

Find the coordinates of the foot of perpendicular from the point (-1,3) to the line $3x-4y-16=0$

asked May 13, 2014 by thanvigandhi_1

1 answer

Find the equation of the right bisector of the line segment joining the points (3,4) and (-1,2)

asked May 13, 2014 by thanvigandhi_1

1 answer

Two lines passing through the point (2,3) intersects each other at an angle of $60^{\circ}$. If slope of one line is 2, find equation of the other line.

asked May 13, 2014 by thanvigandhi_1

1 answer

Prove that the line through the point $(x_1, y_1)$ and parallel to the line $Ax+By+C=0$ is \[\] $\qquad \qquad A(x-x_1)+B(y-y_1)=0$.

asked May 13, 2014 by thanvigandhi_1

1 answer

The line through the points $(h,3)$ and $(4,1)$ intersects the line $7x-9y-19=0$ at right angle. Find the value of $h$.

asked May 10, 2014 by thanvigandhi_1

1 answer

Find angles between the lines $ \sqrt 3x+y=1$ and $x+\sqrt 3y=1$.

asked May 10, 2014 by thanvigandhi_1

1 answer

Find equation of the line perpendicular to the line $x-7y+5=0$ and having $x$ intercept 3.

asked May 10, 2014 by thanvigandhi_1

1 answer

Find the equation of the line parallel to the line $3x-4y+2=0$ and passing through the point $(-2, 3)$

asked May 10, 2014 by thanvigandhi_1

1 answer

Find the distance between parallel lines $ l(x+y)+p=0$ and $l(x+y)-r=0$.

asked May 9, 2014 by thanvigandhi_1

1 answer

Find the distance between parallel lines \[\] $15x+8y-34=0$ and $ 15x+8y+31=0$

asked May 9, 2014 by thanvigandhi_1

1 answer

Find the points on the $x$ axis, whose distance from the line $\large\frac{x}{3}$$+\large\frac{y}{4}$$=1$ are 4 units.

asked May 9, 2014 by thanvigandhi_1

1 answer

Find the distance of the point (-1, 1) from the line $12(x+6)=5(y-2)$.

asked May 9, 2014 by thanvigandhi_1

1 answer

Reduce the following equation into normal form. Find their perpendicular distances from the origin and angle between perpendicular and the positive $x$ - axis. $ x-y=4$

asked May 7, 2014 by thanvigandhi_1

1 answer

Reduce the following equation into normal form. Find their perpendicular distances from the origin and angle between perpendicular and the positive $x$ - axis. $ y-2=0$

asked May 7, 2014 by thanvigandhi_1

1 answer

Reduce the following equation into normal form. Find their perpendicular distances from the origin and angle between perpendicular and the positive $x$ - axis. $ x-\sqrt 3 y +8=0$

asked May 7, 2014 by thanvigandhi_1

1 answer

Reduce the following equation into intercept form and find their intercepts on the axes $3y+2=0$

asked May 7, 2014 by thanvigandhi_1

1 answer

Reduce the following equation into intercept form and find their intercepts on the axes $4x-3y=6$

asked May 7, 2014 by thanvigandhi_1

1 answer

Reduce the following equation into intercept form and find their intercepts on the axes $3x+2y-12=0$

asked May 7, 2014 by thanvigandhi_1

1 answer

Reduce the following equation into slope - intercept form and find their slopes and the $y$ - intercepts. $y=0$

asked May 7, 2014 by thanvigandhi_1

1 answer

Reduce the following equation into slope - intercept form and find their slopes and the $y$ - intercepts. $6x+3y-5=0$

asked May 7, 2014 by thanvigandhi_1

1 answer

Reduce the following equation into slope - intercept form and find their slopes and the $y$ - intercepts. $x+7y=0$

asked May 7, 2014 by thanvigandhi_1

1 answer

In a hurdle race a player has to cross $10$ hurdles. The probability that he will clear each hurdle is $\large\frac{5}{6}$. What is the probability that he will knock down less than $2$ hurdles.

asked Apr 21, 2013 by poojasapani_1

1 answer

The overall percentage of passes in a certain examination is $80$.If $6$ candidates appear in the examination what is the probability that atleast $5$ pass the examination.

asked Apr 21, 2013 by poojasapani_1

1 answer

Four coins are tossed simultaneously .what is the probability of getting at most two heads

asked Apr 21, 2013 by poojasapani_1

1 answer

Four coins are tossed simultaneously.what is the probability of getting at least two heads

asked Apr 21, 2013 by poojasapani_1

1 answer

Four coins are tossed simultaneously .what is the probability of getting exactly $2$ heads

asked Apr 21, 2013 by poojasapani_1

1 answer

If on an average $1$ ship out of $10$ do not arrive safely to ports. Find the mean and the standard deviation of ship returning safely out of a total of $500$ ships

asked Apr 20, 2013 by poojasapani_1

1 answer

A die is thrown $120$ times and getting $1$ or $5$ is considered a success.Find the mean and variance of the number of successes.

asked Apr 20, 2013 by poojasapani_1

1 answer

The mean of a binomial distribution is $6$ and its standard deviation is $3$. Is this statement true or false?comment?

asked Apr 20, 2013 by poojasapani_1

1 answer

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