List of practice Questions

If the product of zeroes of a polynomial \(x^{2}-9x+2a\) is \(8\), then the value of \(a\) will be
If one zero of a polynomial \(p(x)\) is \(-1\), then a factor of \(p(x)\) will be
Which of the following quadratic polynomials has sum of zeroes \(-3\) and product of zeroes \(2\)?
If \(\alpha,\beta,\gamma\) are zeroes of the cubic polynomial \(ax^{3}+bx^{2}+cx+d=0\), then the value of \(\alpha\beta\gamma\) is
The degree of the polynomial \((y^{2}-3y+1)\,(y^{5}-4y^{3}+y^{2}+3y)\) is
If \(3x-2y=12\) and \(4x-5y=16\), then
The number of terms in the A.P. \(2,\,6,\,10,\,14,\,\ldots,\,82\) is
Which term of the A.P. \(72,\,63,\,54,\,\ldots\) is zero?
Distance between the points \((a\cos\theta,\,0)\) and \((0,\,a\sin\theta)\) is
The zeroes of the polynomial \(x^{2}-16\) are
The discriminant of the quadratic equation \(x^{2}+4x+b=0\) is
Which of the following are in A.P.?
The common difference of an A.P. \(\sqrt{18},\,\sqrt{50},\,\sqrt{98},\,\sqrt{162},\,\ldots\) is
What is the 11th term of the A.P. \(2,\,5,\,8,\,11,\,\ldots\)?
If the \(n\)th term of an A.P. is \(8n-2\), then the 7th term is
If in an A.P. \(a_{30}-a_{20}=50\), then the common difference is
If \((2x-1)\), \((3x+2)\) and \((6x-1)\) are three consecutive terms of an A.P., then the value of \(x\) is
The area of an equilateral triangle is \(36\sqrt{3}\ \text{cm}^2\). Its side is:
The number of common tangents of two intersecting circles is:
A circle has radius \(7\) cm. From external point \(P\), tangent \(PT=24\) cm. If \(O\) is centre, find \(OP\).
From an external point \(P\), the length of one tangent to a circle is \(17\) cm. The other tangent from \(P\) to the same circle has length:
A circle has radius \(7\) cm. If the area of a minor sector is \(14\ \text{cm}^2\), find the area of the major sector.
The area of a circle is \(154\ \text{cm}^2\). Its diameter is:
The product of two numbers is \(8670\) and their HCF is \(17\). What is their LCM?
Which of the following is a rational number?