Some Questions (1 Viewer)

[181jsmith]

1. Solve the equation

2. P (2ap, ap^2) and Q (2aq, aq^2) are 2 points on the parabola x^2= 4ay with parameter values p=4 and q=-6. Show that the lines OP and OQ are inclined at 45 degrees to each other.

3. Solve the inequality

4. Show that 2cos(A - B)sin(A+B)= sin2A + sin 2B

5. The polynomial eq has roots
a, a^2 and a^3

Find in terms of b,c and d

Show that

thanks.

 

[SpiralFlex]

1.






2.

Find the gradients, you should get respectively.








3.








4.








5 i. Sum of roots:

Two at a time:

Product:















ii.

 

[181jsmith]

thank you so much spiral- i really appreciate your help. i owe u one.

 

[nightweaver066]

@SpiralFlex

Error in question 1, should be 315 and 405.

Question 3 should be, 0 < x < 2

 

[181jsmith]

r u sure its 2<x<0 ?

 

[D94]

r u sure its 2<x<0 ?

Like what nightweaver066 said, it's 0 < x < 2

 

[181jsmith]

thanks- Just 3 questions im struggling with atm:

1. i) show that the tangent to the parabola at the point has equation i know how to do this, its just the second part

ii) tangents to the parabola at the points P and Q with parameter values t=p and t=2p respectively intersect at R. Find the Cartesian equation of the locus of R as P and Q move on the parabola.

2. P ( and Q are two points on the parabola

i) i know how to do this. Show that the chord PQ has equation (p+q)x - 2y = 2apq
ii) i dont know how to do this. If P and Q move on the parabola such that pq=1, show that the chord PQ produced always passes through a fixed point R on the y axis.

3. Solve 2sinx-3cosx=1 for to the nearest minute

 

[khorne]

thanks- Just 3 questions im struggling with atm:

1. i) show that the tangent to the parabola at the point has equation i know how to do this, its just the second part

ii) tangents to the parabola at the points P and Q with parameter values t=p and t=2p respectively intersect at R. Find the Cartesian equation of the locus of R as P and Q move on the parabola.

2. P ( and Q are two points on the parabola

i) i know how to do this. Show that the chord PQ has equation (p+q)x - 2y = 2apq
ii) i dont know how to do this. If P and Q move on the parabola such that pq=1, show that the chord PQ produced always passes through a fixed point R on the y axis.

3. Solve 2sinx-3cosx=1 for to the nearest minute

Did you even try these? They are easy. If you can't do them, you should drop maths pronto.

 

[Alkanes]

These question is very familiar lol. Was it from the 2011 Independant paper ?

 

[nightweaver066]

1. ii)















2. If pq = 1, (p+q)x - 2y = 2a

When x = 0,
Thus it always passes through the fixed point, R(0, -2a)

3.








And i'm sure you can go from there..

 

[Alkanes]

thanks- Just 3 questions im struggling with atm:

1. i) show that the tangent to the parabola at the point has equation i know how to do this, its just the second part

ii) tangents to the parabola at the points P and Q with parameter values t=p and t=2p respectively intersect at R. Find the Cartesian equation of the locus of R as P and Q move on the parabola.

2. P ( and Q are two points on the parabola

i) i know how to do this. Show that the chord PQ has equation (p+q)x - 2y = 2apq
ii) i dont know how to do this. If P and Q move on the parabola such that pq=1, show that the chord PQ produced always passes through a fixed point R on the y axis.

3. Solve 2sinx-3cosx=1 for to the nearest minute

For question 3 i'm 100% sure they made you change this into t-method first before you solve it lol.