AP EAMCET · Maths · Quadratic Equation
If \(\operatorname{cosec} \theta\), and \(\cot \theta\) are the roots of \(\mathrm{cx}^2+\mathrm{bx}+\mathrm{a}=0\)
\((b c \neq 0)\), then \(b^2\left(b^2-4 a c\right)=\)
- A \(-2 c^4\)
- B \(2 c^4\)
- C \(-c^4\)
- D \(\mathrm{c}^4\)
Answer & Solution
Correct Answer
(D) \(\mathrm{c}^4\)
Step-by-step Solution
Detailed explanation
\(\mathrm{cx}^2+\mathrm{bx}+\mathrm{a}=0\) Let \(\alpha=\operatorname{cosec} \theta \& \beta=\cot \theta\) \[ \alpha+\beta=-\frac{b}{c} \& \alpha \beta=\frac{a}{c} \]…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If \(x, y\) and \(z\) are non-zero real numbers and \(\hat{\mathbf{a}}=x \hat{\mathbf{i}}+2 \hat{\mathbf{j}}, \hat{\mathbf{b}}=y \hat{\mathbf{j}}+3 \hat{\mathbf{k}}\) and \(\hat{\mathbf{c}}=x \hat{\mathbf{i}}+y \hat{\mathbf{j}}+z \hat{\mathbf{j}}\) are such that \(\hat{\mathbf{a}} \times \hat{\mathbf{b}}=z \hat{\mathbf{i}}-3 \hat{\mathbf{j}}+\hat{\mathbf{k}}\), then \([\hat{\mathbf{a}} \hat{\mathbf{b}} \hat{\mathbf{c}}]\) equals toAP EAMCET 2014 Easy
- The locus of the point on the curve \(y=\sin x\) where the tangent drawn at that point always passes through the point \((0, \pi)\) isAP EAMCET 2023 Easy
- If \(f\) is continuous function and \(f(x+T)=f(x), \forall x \in R\), it is given that \(\int_0^{N T} f(t) d t=N \int_0^T f(t) d t \cdot(N\) is natural number). Then, \(\int_0^{50 \pi} \sqrt{1-\cos 2 x} d x=\)AP EAMCET 2022 Medium
- If 7 and 8 are the lengths of two sides of a triangle and ' \(a\) ' is the length of its smallest side. The angles of the triangle are in AP and ' \(a\) ' has two values \(a_1\) and \(a_2\) satisfying this condition. If \(a_1 \lt a_2\) then \(2 a_1+3 a_2=\)AP EAMCET 2024 Easy
- \(\sqrt{12-\sqrt{68+48 \sqrt{2}}}\) is equal to :AP EAMCET 2006 Easy
- If the point \((\lambda, l+\lambda)\) lies inside the circle \(x^2+y^2=1\), thenAP EAMCET 2021 Easy
More PYQs from AP EAMCET
- An explosion blows a stationary rock into three parts. Two parts of masses \(1 \mathrm{~kg}\) and \(2 \mathrm{~kg}\) moves at right angles to one another with velocities \(12 \mathrm{~ms}^{-1}\) and \(8 \mathrm{~ms}^{-1}\), respectively. If the velocity of third part is 4 \(\mathrm{ms}^{-1}\), the mass of the rock isAP EAMCET 2019 Medium
- of solution is mixed with of acetic acid solution, the of the resulting solution is_________
of acetic acid is .AP EAMCET 2019 Medium - \(A(-2,9)\) and \(B(1,6)\) are two points on the curve \(y=x^2+5\). The coordinates of the point \(\mathrm{C}\) on the curve such that the tangent drawn at \(\mathrm{A}\) is parallel to the chord \(\mathrm{BC}\), isAP EAMCET 2023 Easy
- Eight drops of mercury of equal radii and possessing equal charge combine to form a big drop. If the capacity of each drop is ' C '. then capacity of the big drop isAP EAMCET 2024 Easy
- Let \(f^{\prime}(x)=|x|\) and \(g(x)=|x|+a,(a>0)\). For \(0 \leq x \leq b\), \(\{(x, y) / g(x) \leq y \leq f(x)\}\) represents all the points in the interior ofAP EAMCET 2023 Medium
- At \(256 \mathrm{~K}, \mathrm{rms}\) speed of \(\mathrm{SO}_2\) gas molecules is \(3.16 \times 10^2 \mathrm{~ms}^{-1}\). What is the most probable velocity (in \(\mathrm{ms}^{-1}\) ) of same gas at same temperature?AP EAMCET 2025 Medium