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Jssc pgt -9

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Jssc pgt physics

Two straight lines pass through the fixed points (+-a, 0) and have slopes whose products is pgt0 Show that the locus of the points of intersection of the lines is a hyperbola.

Two straight lines pass through the fixed points (+-a, 0) and have slopes whose products is pgt0 Show that the locus of the points of intersection of the lines is a hyperbola.

If x+3 is a factor of f(x)=px^(2)+p^(2)x+30 and pgt0 , what is the value of p?

sqrt(3p^(2)-11)-x=0 If pgt0 and x=8 in the equation above, what is the value of p?

If sec A - tan A = p, pgt0 , find tan A, sec A and sin A if A is acute angle.

If (4p+1)^(2)=81 and pgt0 , what is a possible value of p?

Suppose the cubic x^(3)-px+q has three distinct real roots, where pgt0 and qgt0 . Then find the max and min points .