# Jambmaths

Maths Question
Question 31

$3y=4x-1$and $ky=x+3$are equation of two straight lines. If the two lines are perpendicular to each other, find k

Question 14

if two graph $y=p{{x}^{2}}+q$ and $y=2{{x}^{2}}-1$intersect at x = 2. Find the value of p in terms of q

Question 24

A straight line makes an angle of 30o with the positive x – axis and cut the y – axis at y =5. Find the equation of the straight line

Question 25

Find the value of p if the line joining (p, 4) and (6, –2) is perpendicular to the line joining (2, p) and (–1, – 3)

Question 36

Find the coordinate of the midpoint of x and y intercept of the line $2y=4x-8$

Question 39

Find the value of $\alpha$if the line $2y-\alpha x+4=0$is perpendicular to the line $y+\tfrac{1}{4}x-7=0$

Question 15

The graph of the function $y={{x}^{2}}+4$and the straight line PQ are drawn to solve the equation ${{x}^{2}}-3x+2=0$. What is the equation PQ

Question 24

Find the equation of the locus of a point P(x, y), which is equidistant from Q (0, 0) and R (2, 1)

Question 29

Find the value of P, if the line which passes through (– 1, –p) and (–2p, 2) is parallel to the line $2y+8x-17=0$

Question 34

A triangle has vertices P( –1,6), Q(–3, –4) and R (1, –4). Find the midpoint PQ and QR respectively

Question 2

Find the value of ${{\alpha }^{2}}+{{\beta }^{2}}$ if $\alpha +\beta =2$and the distance between the points $(1,\alpha \text{ )and (}\beta ,1)$is 3 units

Question 5

Find the midpoint of the line joining  P(–3,5)  and Q (5, –3)

Question 11

Find the coordinate of the midpoint of the line joining (3, –4) and (–1, 10)

Question 13

Find the equation of the perpendicular at point (4,3) to the line y +2x – 5

Question 7

What is the locus of points equidistant from the ax + by + c = 0

Question 14

PQ and RS are two parallel lines. If the coordinate P, Q, R, S are (1,q), (3,2), (3,4),(5,2q) respectively . Find the value of q

Question 24

If the lines $2y-kx+2=0$and $y+x-\tfrac{k}{2}=0$intersect at (1, – 2). Find the value of k

Question 32

What is the value of K, if the mid – point of the line joining $(1-k,-4)$and $(2,k+1)$is $(-k,k)$

Question 33

If the lines $3y=4x-1$and $qy=x+3$are parallel to each other, the value of q is

Question 32

Find the gradient of a line which is perpendicular to the line with the equation $3x+2y+1=0$

Question 33

Calculate the distance between L ( –1, –6) and M(–3, –5)

Question 24

Find the angle between the straight line $y=x\,\text{and }y=\sqrt{3}x$

Question 32

What is the value of P if the gradient of the line joining ( – 1,p) and (p, 4) is $\tfrac{2}{3}$

Question 33

What is the value of r, if the distance between the point(4, 2) and (1,r) is 3 units

Question 35

Find the distance between the points $(\tfrac{1}{2},\tfrac{1}{2})$and $\text{(}-\tfrac{1}{2},-\tfrac{1}{2})$

Question 36

Find the gradient of the line passing through P(1,1) and Q(2,5)

Question 37

Find the equation of a line parallel to y = 4x +2 passing through (2, 3)

Question 32

The midpoint of P (x, y) and Q (8, 6) is (5, 8). Find x and y.

Question 33

Find the equation of a line perpendicular to the line 2y = 5x + 4 which passes (4, 2).

Question 32

The gradient of the straight line joining the point P(5, –7) and Q(–2, –3) is

Question 33

The distance between the point (4,3) and the intersection of y = 2x + 4 and y = 7 – x

Question 34

Find the equation of the line through the points  (–2, 1) and (–½, 4)

Question 31

If the mid point of PQ is (2,3) and the point P is (-2,1). Find the coordinate of the point

Question 32

Find the equation of the perpendicular bisector of the line joining P(2,-3) to Q(-5,1)

Question 32

Find the mid point of S(–5, 4) and T(–3, –2)

Question 33

The gradient of the line joining (x, 4) and (1, 2) is ½ . Find the value of x

Question 35

Calculate the midpoint of the line segment $y-4x+3=0$ which lies between the x –axis and y–axis

Question 36

Find the equation of the straight line through (–2, 3) and perpendicular to 4x +3y – 5 = 0

Question 22

Find the gradient of the line joining the points P(5,6) and Q(3,3)

Question 36

The gradient of the line joining (x, 4) and (1, 2) is ½ . Find the value of x.